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Finding the Fourth Proportional to 8,229.78, 12,345.42 and 2,681.70

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Solution

The fourth proportional to 8,229.78, 12,345.42 and 2,681.70 is: 4,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.78 : 12,345.42 = 2,681.70 : x
  2. Step 2: Convert to fraction form
    8,229.78/12,345.42 = 2,681.70/x
  3. Step 3: Cross multiply
    8,229.78x = 12,345.42 × 2,681.70
  4. Step 4: Simplify right side
    8,229.78x = 33,106,712.81
  5. Step 5: Solve for x
    x = 33,106,712.81/8,229.78
  6. Step 6: Final answer
    x = 4,022.79

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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.