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Finding the Fourth Proportional to 10,916.82, 15,065.31 and 6,201.13

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Solution

The fourth proportional to 10,916.82, 15,065.31 and 6,201.13 is: 8,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.82 : 15,065.31 = 6,201.13 : x
  2. Step 2: Convert to fraction form
    10,916.82/15,065.31 = 6,201.13/x
  3. Step 3: Cross multiply
    10,916.82x = 15,065.31 × 6,201.13
  4. Step 4: Simplify right side
    10,916.82x = 93,421,945.80
  5. Step 5: Solve for x
    x = 93,421,945.80/10,916.82
  6. Step 6: Final answer
    x = 8,557.62

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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.