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Finding the Fourth Proportional to 10,549.69, 14,551.71 and 6,766.86

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Solution

The fourth proportional to 10,549.69, 14,551.71 and 6,766.86 is: 9,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.69 : 14,551.71 = 6,766.86 : x
  2. Step 2: Convert to fraction form
    10,549.69/14,551.71 = 6,766.86/x
  3. Step 3: Cross multiply
    10,549.69x = 14,551.71 × 6,766.86
  4. Step 4: Simplify right side
    10,549.69x = 98,469,384.33
  5. Step 5: Solve for x
    x = 98,469,384.33/10,549.69
  6. Step 6: Final answer
    x = 9,333.87

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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.