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Finding the Fourth Proportional to 10,930.14, 15,082.74 and 6,213.24

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Solution

The fourth proportional to 10,930.14, 15,082.74 and 6,213.24 is: 8,573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.14 : 15,082.74 = 6,213.24 : x
  2. Step 2: Convert to fraction form
    10,930.14/15,082.74 = 6,213.24/x
  3. Step 3: Cross multiply
    10,930.14x = 15,082.74 × 6,213.24
  4. Step 4: Simplify right side
    10,930.14x = 93,712,683.48
  5. Step 5: Solve for x
    x = 93,712,683.48/10,930.14
  6. Step 6: Final answer
    x = 8,573.79

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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.