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Finding the Fourth Proportional to 10,022.52, 15,029.10 and 4,177.56

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Solution

The fourth proportional to 10,022.52, 15,029.10 and 4,177.56 is: 6,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.52 : 15,029.10 = 4,177.56 : x
  2. Step 2: Convert to fraction form
    10,022.52/15,029.10 = 4,177.56/x
  3. Step 3: Cross multiply
    10,022.52x = 15,029.10 × 4,177.56
  4. Step 4: Simplify right side
    10,022.52x = 62,784,967.00
  5. Step 5: Solve for x
    x = 62,784,967.00/10,022.52
  6. Step 6: Final answer
    x = 6,264.39

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