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Finding the Fourth Proportional to 8,533.07, 12,782.99 and 4,824.08

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Solution

The fourth proportional to 8,533.07, 12,782.99 and 4,824.08 is: 7,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.07 : 12,782.99 = 4,824.08 : x
  2. Step 2: Convert to fraction form
    8,533.07/12,782.99 = 4,824.08/x
  3. Step 3: Cross multiply
    8,533.07x = 12,782.99 × 4,824.08
  4. Step 4: Simplify right side
    8,533.07x = 61,666,078.36
  5. Step 5: Solve for x
    x = 61,666,078.36/8,533.07
  6. Step 6: Final answer
    x = 7,226.72

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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.