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Finding the Fourth Proportional to 10,082.70, 15,107.67 and 6,178.86

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Solution

The fourth proportional to 10,082.70, 15,107.67 and 6,178.86 is: 9,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.70 : 15,107.67 = 6,178.86 : x
  2. Step 2: Convert to fraction form
    10,082.70/15,107.67 = 6,178.86/x
  3. Step 3: Cross multiply
    10,082.70x = 15,107.67 × 6,178.86
  4. Step 4: Simplify right side
    10,082.70x = 93,348,177.86
  5. Step 5: Solve for x
    x = 93,348,177.86/10,082.70
  6. Step 6: Final answer
    x = 9,258.25

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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.