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Finding the Fourth Proportional to 10,021.71, 15,037.90 and 5,639.48

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Solution

The fourth proportional to 10,021.71, 15,037.90 and 5,639.48 is: 8,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.71 : 15,037.90 = 5,639.48 : x
  2. Step 2: Convert to fraction form
    10,021.71/15,037.90 = 5,639.48/x
  3. Step 3: Cross multiply
    10,021.71x = 15,037.90 × 5,639.48
  4. Step 4: Simplify right side
    10,021.71x = 84,805,847.00
  5. Step 5: Solve for x
    x = 84,805,847.00/10,021.71
  6. Step 6: Final answer
    x = 8,462.21

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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.