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Finding the Fourth Proportional to 8,468.15, 12,710.02 and 4,311.13

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Solution

The fourth proportional to 8,468.15, 12,710.02 and 4,311.13 is: 6,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.15 : 12,710.02 = 4,311.13 : x
  2. Step 2: Convert to fraction form
    8,468.15/12,710.02 = 4,311.13/x
  3. Step 3: Cross multiply
    8,468.15x = 12,710.02 × 4,311.13
  4. Step 4: Simplify right side
    8,468.15x = 54,794,484.97
  5. Step 5: Solve for x
    x = 54,794,484.97/8,468.15
  6. Step 6: Final answer
    x = 6,470.66

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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.