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Finding the Fourth Proportional to 8,306.86, 12,460.34 and 2,463.52

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Solution

The fourth proportional to 8,306.86, 12,460.34 and 2,463.52 is: 3,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.86 : 12,460.34 = 2,463.52 : x
  2. Step 2: Convert to fraction form
    8,306.86/12,460.34 = 2,463.52/x
  3. Step 3: Cross multiply
    8,306.86x = 12,460.34 × 2,463.52
  4. Step 4: Simplify right side
    8,306.86x = 30,696,296.80
  5. Step 5: Solve for x
    x = 30,696,296.80/8,306.86
  6. Step 6: Final answer
    x = 3,695.29

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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.