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Finding the Fourth Proportional to 11,586.71, 15,989.73 and 6,281.61

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Solution

The fourth proportional to 11,586.71, 15,989.73 and 6,281.61 is: 8,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.71 : 15,989.73 = 6,281.61 : x
  2. Step 2: Convert to fraction form
    11,586.71/15,989.73 = 6,281.61/x
  3. Step 3: Cross multiply
    11,586.71x = 15,989.73 × 6,281.61
  4. Step 4: Simplify right side
    11,586.71x = 100,441,247.87
  5. Step 5: Solve for x
    x = 100,441,247.87/11,586.71
  6. Step 6: Final answer
    x = 8,668.66

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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.