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Finding the Fourth Proportional to 10,033.95, 15,060.18 and 5,107.14

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Solution

The fourth proportional to 10,033.95, 15,060.18 and 5,107.14 is: 7,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.95 : 15,060.18 = 5,107.14 : x
  2. Step 2: Convert to fraction form
    10,033.95/15,060.18 = 5,107.14/x
  3. Step 3: Cross multiply
    10,033.95x = 15,060.18 × 5,107.14
  4. Step 4: Simplify right side
    10,033.95x = 76,914,447.69
  5. Step 5: Solve for x
    x = 76,914,447.69/10,033.95
  6. Step 6: Final answer
    x = 7,665.42

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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.