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Finding the Fourth Proportional to 11,105.92, 15,319.10 and 8,447.50

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Solution

The fourth proportional to 11,105.92, 15,319.10 and 8,447.50 is: 11,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.92 : 15,319.10 = 8,447.50 : x
  2. Step 2: Convert to fraction form
    11,105.92/15,319.10 = 8,447.50/x
  3. Step 3: Cross multiply
    11,105.92x = 15,319.10 × 8,447.50
  4. Step 4: Simplify right side
    11,105.92x = 129,408,097.25
  5. Step 5: Solve for x
    x = 129,408,097.25/11,105.92
  6. Step 6: Final answer
    x = 11,652.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.