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Finding the Fourth Proportional to 10,930.75, 15,089.29 and 8,411.85

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Solution

The fourth proportional to 10,930.75, 15,089.29 and 8,411.85 is: 11,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.75 : 15,089.29 = 8,411.85 : x
  2. Step 2: Convert to fraction form
    10,930.75/15,089.29 = 8,411.85/x
  3. Step 3: Cross multiply
    10,930.75x = 15,089.29 × 8,411.85
  4. Step 4: Simplify right side
    10,930.75x = 126,928,823.06
  5. Step 5: Solve for x
    x = 126,928,823.06/10,930.75
  6. Step 6: Final answer
    x = 11,612.09

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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.