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Finding the Fourth Proportional to 10,706.92, 14,778.66 and 6,522.76

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Solution

The fourth proportional to 10,706.92, 14,778.66 and 6,522.76 is: 9,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.92 : 14,778.66 = 6,522.76 : x
  2. Step 2: Convert to fraction form
    10,706.92/14,778.66 = 6,522.76/x
  3. Step 3: Cross multiply
    10,706.92x = 14,778.66 × 6,522.76
  4. Step 4: Simplify right side
    10,706.92x = 96,397,652.30
  5. Step 5: Solve for x
    x = 96,397,652.30/10,706.92
  6. Step 6: Final answer
    x = 9,003.30

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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.