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Finding the Fourth Proportional to 8,854,798.12, 13,282,200.78 and 6,835,989.64

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Solution

The fourth proportional to 8,854,798.12, 13,282,200.78 and 6,835,989.64 is: 10,253,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854,798.12 : 13,282,200.78 = 6,835,989.64 : x
  2. Step 2: Convert to fraction form
    8,854,798.12/13,282,200.78 = 6,835,989.64/x
  3. Step 3: Cross multiply
    8,854,798.12x = 13,282,200.78 × 6,835,989.64
  4. Step 4: Simplify right side
    8,854,798.12x = 90,796,986,928,479.91
  5. Step 5: Solve for x
    x = 90,796,986,928,479.91/8,854,798.12
  6. Step 6: Final answer
    x = 10,253,987.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.