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Finding the Fourth Proportional to 10,916.92, 15,065.34 and 5,948.92

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Solution

The fourth proportional to 10,916.92, 15,065.34 and 5,948.92 is: 8,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.92 : 15,065.34 = 5,948.92 : x
  2. Step 2: Convert to fraction form
    10,916.92/15,065.34 = 5,948.92/x
  3. Step 3: Cross multiply
    10,916.92x = 15,065.34 × 5,948.92
  4. Step 4: Simplify right side
    10,916.92x = 89,622,427.11
  5. Step 5: Solve for x
    x = 89,622,427.11/10,916.92
  6. Step 6: Final answer
    x = 8,209.50

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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.