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Finding the Fourth Proportional to 10,885.20, 16,327.80 and 7,531.80

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Solution

The fourth proportional to 10,885.20, 16,327.80 and 7,531.80 is: 11,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.20 : 16,327.80 = 7,531.80 : x
  2. Step 2: Convert to fraction form
    10,885.20/16,327.80 = 7,531.80/x
  3. Step 3: Cross multiply
    10,885.20x = 16,327.80 × 7,531.80
  4. Step 4: Simplify right side
    10,885.20x = 122,977,724.04
  5. Step 5: Solve for x
    x = 122,977,724.04/10,885.20
  6. Step 6: Final answer
    x = 11,297.70

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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.