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Finding the Fourth Proportional to 8,285.39, 12,397.40 and 4,955.48

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Solution

The fourth proportional to 8,285.39, 12,397.40 and 4,955.48 is: 7,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.39 : 12,397.40 = 4,955.48 : x
  2. Step 2: Convert to fraction form
    8,285.39/12,397.40 = 4,955.48/x
  3. Step 3: Cross multiply
    8,285.39x = 12,397.40 × 4,955.48
  4. Step 4: Simplify right side
    8,285.39x = 61,435,073.94
  5. Step 5: Solve for x
    x = 61,435,073.94/8,285.39
  6. Step 6: Final answer
    x = 7,414.87

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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.