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Finding the Fourth Proportional to 10,082.60, 15,105.68 and 8,223.65

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Solution

The fourth proportional to 10,082.60, 15,105.68 and 8,223.65 is: 12,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.60 : 15,105.68 = 8,223.65 : x
  2. Step 2: Convert to fraction form
    10,082.60/15,105.68 = 8,223.65/x
  3. Step 3: Cross multiply
    10,082.60x = 15,105.68 × 8,223.65
  4. Step 4: Simplify right side
    10,082.60x = 124,223,784.21
  5. Step 5: Solve for x
    x = 124,223,784.21/10,082.60
  6. Step 6: Final answer
    x = 12,320.61

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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.