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Finding the Fourth Proportional to 6,432.40, 8,862.78 and 5,168.80

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Solution

The fourth proportional to 6,432.40, 8,862.78 and 5,168.80 is: 7,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.40 : 8,862.78 = 5,168.80 : x
  2. Step 2: Convert to fraction form
    6,432.40/8,862.78 = 5,168.80/x
  3. Step 3: Cross multiply
    6,432.40x = 8,862.78 × 5,168.80
  4. Step 4: Simplify right side
    6,432.40x = 45,809,937.26
  5. Step 5: Solve for x
    x = 45,809,937.26/6,432.40
  6. Step 6: Final answer
    x = 7,121.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.