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Finding the Fourth Proportional to 8,229.66, 12,345.45 and 5,151.90

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Solution

The fourth proportional to 8,229.66, 12,345.45 and 5,151.90 is: 7,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.66 : 12,345.45 = 5,151.90 : x
  2. Step 2: Convert to fraction form
    8,229.66/12,345.45 = 5,151.90/x
  3. Step 3: Cross multiply
    8,229.66x = 12,345.45 × 5,151.90
  4. Step 4: Simplify right side
    8,229.66x = 63,602,523.86
  5. Step 5: Solve for x
    x = 63,602,523.86/8,229.66
  6. Step 6: Final answer
    x = 7,728.45

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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.