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Finding the Fourth Proportional to 10,082.57, 15,123.60 and 9,778.07

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Solution

The fourth proportional to 10,082.57, 15,123.60 and 9,778.07 is: 14,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.57 : 15,123.60 = 9,778.07 : x
  2. Step 2: Convert to fraction form
    10,082.57/15,123.60 = 9,778.07/x
  3. Step 3: Cross multiply
    10,082.57x = 15,123.60 × 9,778.07
  4. Step 4: Simplify right side
    10,082.57x = 147,879,543.83
  5. Step 5: Solve for x
    x = 147,879,543.83/10,082.57
  6. Step 6: Final answer
    x = 14,666.86

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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.