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Finding the Fourth Proportional to 8,497.97, 12,747.20 and 4,056.10

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Solution

The fourth proportional to 8,497.97, 12,747.20 and 4,056.10 is: 6,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.97 : 12,747.20 = 4,056.10 : x
  2. Step 2: Convert to fraction form
    8,497.97/12,747.20 = 4,056.10/x
  3. Step 3: Cross multiply
    8,497.97x = 12,747.20 × 4,056.10
  4. Step 4: Simplify right side
    8,497.97x = 51,703,854.18
  5. Step 5: Solve for x
    x = 51,703,854.18/8,497.97
  6. Step 6: Final answer
    x = 6,084.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.