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Finding the Fourth Proportional to 10,884.34, 16,331.61 and 7,557.70

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Solution

The fourth proportional to 10,884.34, 16,331.61 and 7,557.70 is: 11,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.34 : 16,331.61 = 7,557.70 : x
  2. Step 2: Convert to fraction form
    10,884.34/16,331.61 = 7,557.70/x
  3. Step 3: Cross multiply
    10,884.34x = 16,331.61 × 7,557.70
  4. Step 4: Simplify right side
    10,884.34x = 123,429,408.90
  5. Step 5: Solve for x
    x = 123,429,408.90/10,884.34
  6. Step 6: Final answer
    x = 11,340.09

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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.