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Finding the Fourth Proportional to 10,610.96, 15,916.31 and 6,452.11

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Solution

The fourth proportional to 10,610.96, 15,916.31 and 6,452.11 is: 9,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.96 : 15,916.31 = 6,452.11 : x
  2. Step 2: Convert to fraction form
    10,610.96/15,916.31 = 6,452.11/x
  3. Step 3: Cross multiply
    10,610.96x = 15,916.31 × 6,452.11
  4. Step 4: Simplify right side
    10,610.96x = 102,693,671.07
  5. Step 5: Solve for x
    x = 102,693,671.07/10,610.96
  6. Step 6: Final answer
    x = 9,678.08

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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.