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Finding the Fourth Proportional to 11,102.89, 16,635.15 and 7,800.52

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Solution

The fourth proportional to 11,102.89, 16,635.15 and 7,800.52 is: 11,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.89 : 16,635.15 = 7,800.52 : x
  2. Step 2: Convert to fraction form
    11,102.89/16,635.15 = 7,800.52/x
  3. Step 3: Cross multiply
    11,102.89x = 16,635.15 × 7,800.52
  4. Step 4: Simplify right side
    11,102.89x = 129,762,820.28
  5. Step 5: Solve for x
    x = 129,762,820.28/11,102.89
  6. Step 6: Final answer
    x = 11,687.30

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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.