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Finding the Fourth Proportional to 7,508.28, 11,262.12 and 2,314

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Solution

The fourth proportional to 7,508.28, 11,262.12 and 2,314 is: 3,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.28 : 11,262.12 = 2,314 : x
  2. Step 2: Convert to fraction form
    7,508.28/11,262.12 = 2,314/x
  3. Step 3: Cross multiply
    7,508.28x = 11,262.12 × 2,314
  4. Step 4: Simplify right side
    7,508.28x = 26,060,545.68
  5. Step 5: Solve for x
    x = 26,060,545.68/7,508.28
  6. Step 6: Final answer
    x = 3,470.91

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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.