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Finding the Fourth Proportional to 8,463.07, 12,702.84 and 5,182.57

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Solution

The fourth proportional to 8,463.07, 12,702.84 and 5,182.57 is: 7,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.07 : 12,702.84 = 5,182.57 : x
  2. Step 2: Convert to fraction form
    8,463.07/12,702.84 = 5,182.57/x
  3. Step 3: Cross multiply
    8,463.07x = 12,702.84 × 5,182.57
  4. Step 4: Simplify right side
    8,463.07x = 65,833,357.50
  5. Step 5: Solve for x
    x = 65,833,357.50/8,463.07
  6. Step 6: Final answer
    x = 7,778.90

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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.