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Finding the Fourth Proportional to 11,586.92, 15,990.05 and 6,281.71

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Solution

The fourth proportional to 11,586.92, 15,990.05 and 6,281.71 is: 8,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.92 : 15,990.05 = 6,281.71 : x
  2. Step 2: Convert to fraction form
    11,586.92/15,990.05 = 6,281.71/x
  3. Step 3: Cross multiply
    11,586.92x = 15,990.05 × 6,281.71
  4. Step 4: Simplify right side
    11,586.92x = 100,444,832.71
  5. Step 5: Solve for x
    x = 100,444,832.71/11,586.92
  6. Step 6: Final answer
    x = 8,668.82

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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.