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Finding the Fourth Proportional to 10,610.53, 15,893.92 and 6,214.66

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Solution

The fourth proportional to 10,610.53, 15,893.92 and 6,214.66 is: 9,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.53 : 15,893.92 = 6,214.66 : x
  2. Step 2: Convert to fraction form
    10,610.53/15,893.92 = 6,214.66/x
  3. Step 3: Cross multiply
    10,610.53x = 15,893.92 × 6,214.66
  4. Step 4: Simplify right side
    10,610.53x = 98,775,276.90
  5. Step 5: Solve for x
    x = 98,775,276.90/10,610.53
  6. Step 6: Final answer
    x = 9,309.18

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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.