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Finding the Fourth Proportional to 8,702.64, 13,054.04 and 2,462.80

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Solution

The fourth proportional to 8,702.64, 13,054.04 and 2,462.80 is: 3,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.64 : 13,054.04 = 2,462.80 : x
  2. Step 2: Convert to fraction form
    8,702.64/13,054.04 = 2,462.80/x
  3. Step 3: Cross multiply
    8,702.64x = 13,054.04 × 2,462.80
  4. Step 4: Simplify right side
    8,702.64x = 32,149,489.71
  5. Step 5: Solve for x
    x = 32,149,489.71/8,702.64
  6. Step 6: Final answer
    x = 3,694.22

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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.