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Finding the Fourth Proportional to 10,082.65, 15,124.69 and 2,687.07

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Solution

The fourth proportional to 10,082.65, 15,124.69 and 2,687.07 is: 4,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.65 : 15,124.69 = 2,687.07 : x
  2. Step 2: Convert to fraction form
    10,082.65/15,124.69 = 2,687.07/x
  3. Step 3: Cross multiply
    10,082.65x = 15,124.69 × 2,687.07
  4. Step 4: Simplify right side
    10,082.65x = 40,641,018.42
  5. Step 5: Solve for x
    x = 40,641,018.42/10,082.65
  6. Step 6: Final answer
    x = 4,030.79

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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.