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Finding the Fourth Proportional to 10,918.92, 15,068.34 and 6,138.96

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Solution

The fourth proportional to 10,918.92, 15,068.34 and 6,138.96 is: 8,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918.92 : 15,068.34 = 6,138.96 : x
  2. Step 2: Convert to fraction form
    10,918.92/15,068.34 = 6,138.96/x
  3. Step 3: Cross multiply
    10,918.92x = 15,068.34 × 6,138.96
  4. Step 4: Simplify right side
    10,918.92x = 92,503,936.53
  5. Step 5: Solve for x
    x = 92,503,936.53/10,918.92
  6. Step 6: Final answer
    x = 8,471.89

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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.