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Finding the Fourth Proportional to 10,071.68, 15,107.22 and 5,908.49

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Solution

The fourth proportional to 10,071.68, 15,107.22 and 5,908.49 is: 8,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.68 : 15,107.22 = 5,908.49 : x
  2. Step 2: Convert to fraction form
    10,071.68/15,107.22 = 5,908.49/x
  3. Step 3: Cross multiply
    10,071.68x = 15,107.22 × 5,908.49
  4. Step 4: Simplify right side
    10,071.68x = 89,260,858.30
  5. Step 5: Solve for x
    x = 89,260,858.30/10,071.68
  6. Step 6: Final answer
    x = 8,862.56

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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.