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Finding the Fourth Proportional to 10,082.64, 15,125.13 and 3,508.23

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Solution

The fourth proportional to 10,082.64, 15,125.13 and 3,508.23 is: 5,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.64 : 15,125.13 = 3,508.23 : x
  2. Step 2: Convert to fraction form
    10,082.64/15,125.13 = 3,508.23/x
  3. Step 3: Cross multiply
    10,082.64x = 15,125.13 × 3,508.23
  4. Step 4: Simplify right side
    10,082.64x = 53,062,434.82
  5. Step 5: Solve for x
    x = 53,062,434.82/10,082.64
  6. Step 6: Final answer
    x = 5,262.75

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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.