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Finding the Fourth Proportional to 10,892.52, 15,035.10 and 6,415.96

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Solution

The fourth proportional to 10,892.52, 15,035.10 and 6,415.96 is: 8,856.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.52 : 15,035.10 = 6,415.96 : x
  2. Step 2: Convert to fraction form
    10,892.52/15,035.10 = 6,415.96/x
  3. Step 3: Cross multiply
    10,892.52x = 15,035.10 × 6,415.96
  4. Step 4: Simplify right side
    10,892.52x = 96,464,600.20
  5. Step 5: Solve for x
    x = 96,464,600.20/10,892.52
  6. Step 6: Final answer
    x = 8,856.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.