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Finding the Fourth Proportional to 10,037.95, 15,057.10 and 2,642.13

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Solution

The fourth proportional to 10,037.95, 15,057.10 and 2,642.13 is: 3,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.95 : 15,057.10 = 2,642.13 : x
  2. Step 2: Convert to fraction form
    10,037.95/15,057.10 = 2,642.13/x
  3. Step 3: Cross multiply
    10,037.95x = 15,057.10 × 2,642.13
  4. Step 4: Simplify right side
    10,037.95x = 39,782,809.02
  5. Step 5: Solve for x
    x = 39,782,809.02/10,037.95
  6. Step 6: Final answer
    x = 3,963.24

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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.