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Finding the Fourth Proportional to 10,082.59, 15,110.74 and 5,148.07

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Solution

The fourth proportional to 10,082.59, 15,110.74 and 5,148.07 is: 7,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.59 : 15,110.74 = 5,148.07 : x
  2. Step 2: Convert to fraction form
    10,082.59/15,110.74 = 5,148.07/x
  3. Step 3: Cross multiply
    10,082.59x = 15,110.74 × 5,148.07
  4. Step 4: Simplify right side
    10,082.59x = 77,791,147.27
  5. Step 5: Solve for x
    x = 77,791,147.27/10,082.59
  6. Step 6: Final answer
    x = 7,715.39

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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.