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Finding the Fourth Proportional to 8,574.08, 12,789.04 and 7,786.64

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Solution

The fourth proportional to 8,574.08, 12,789.04 and 7,786.64 is: 11,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.08 : 12,789.04 = 7,786.64 : x
  2. Step 2: Convert to fraction form
    8,574.08/12,789.04 = 7,786.64/x
  3. Step 3: Cross multiply
    8,574.08x = 12,789.04 × 7,786.64
  4. Step 4: Simplify right side
    8,574.08x = 99,583,650.43
  5. Step 5: Solve for x
    x = 99,583,650.43/8,574.08
  6. Step 6: Final answer
    x = 11,614.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.