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Finding the Fourth Proportional to 10,885.20, 16,347.60 and 6,511.20

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Solution

The fourth proportional to 10,885.20, 16,347.60 and 6,511.20 is: 9,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.20 : 16,347.60 = 6,511.20 : x
  2. Step 2: Convert to fraction form
    10,885.20/16,347.60 = 6,511.20/x
  3. Step 3: Cross multiply
    10,885.20x = 16,347.60 × 6,511.20
  4. Step 4: Simplify right side
    10,885.20x = 106,442,493.12
  5. Step 5: Solve for x
    x = 106,442,493.12/10,885.20
  6. Step 6: Final answer
    x = 9,778.64

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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.