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Finding the Fourth Proportional to 8,702.50, 13,052.96 and 2,462.37

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Solution

The fourth proportional to 8,702.50, 13,052.96 and 2,462.37 is: 3,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.50 : 13,052.96 = 2,462.37 : x
  2. Step 2: Convert to fraction form
    8,702.50/13,052.96 = 2,462.37/x
  3. Step 3: Cross multiply
    8,702.50x = 13,052.96 × 2,462.37
  4. Step 4: Simplify right side
    8,702.50x = 32,141,151.85
  5. Step 5: Solve for x
    x = 32,141,151.85/8,702.50
  6. Step 6: Final answer
    x = 3,693.33

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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.