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Finding the Fourth Proportional to 10,575.72, 14,581.02 and 8,680.44

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Solution

The fourth proportional to 10,575.72, 14,581.02 and 8,680.44 is: 11,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.72 : 14,581.02 = 8,680.44 : x
  2. Step 2: Convert to fraction form
    10,575.72/14,581.02 = 8,680.44/x
  3. Step 3: Cross multiply
    10,575.72x = 14,581.02 × 8,680.44
  4. Step 4: Simplify right side
    10,575.72x = 126,569,669.25
  5. Step 5: Solve for x
    x = 126,569,669.25/10,575.72
  6. Step 6: Final answer
    x = 11,967.95

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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.