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Finding the Fourth Proportional to 8,204.52, 12,306.68 and 5,565.48

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Solution

The fourth proportional to 8,204.52, 12,306.68 and 5,565.48 is: 8,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.52 : 12,306.68 = 5,565.48 : x
  2. Step 2: Convert to fraction form
    8,204.52/12,306.68 = 5,565.48/x
  3. Step 3: Cross multiply
    8,204.52x = 12,306.68 × 5,565.48
  4. Step 4: Simplify right side
    8,204.52x = 68,492,663.44
  5. Step 5: Solve for x
    x = 68,492,663.44/8,204.52
  6. Step 6: Final answer
    x = 8,348.17

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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.