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Finding the Fourth Proportional to 10,077.67, 15,118.89 and 9,910.32

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Solution

The fourth proportional to 10,077.67, 15,118.89 and 9,910.32 is: 14,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.67 : 15,118.89 = 9,910.32 : x
  2. Step 2: Convert to fraction form
    10,077.67/15,118.89 = 9,910.32/x
  3. Step 3: Cross multiply
    10,077.67x = 15,118.89 × 9,910.32
  4. Step 4: Simplify right side
    10,077.67x = 149,833,037.94
  5. Step 5: Solve for x
    x = 149,833,037.94/10,077.67
  6. Step 6: Final answer
    x = 14,867.83

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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.