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Finding the Fourth Proportional to 10,677.96, 14,738.22 and 6,489.72

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Solution

The fourth proportional to 10,677.96, 14,738.22 and 6,489.72 is: 8,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.96 : 14,738.22 = 6,489.72 : x
  2. Step 2: Convert to fraction form
    10,677.96/14,738.22 = 6,489.72/x
  3. Step 3: Cross multiply
    10,677.96x = 14,738.22 × 6,489.72
  4. Step 4: Simplify right side
    10,677.96x = 95,646,921.10
  5. Step 5: Solve for x
    x = 95,646,921.10/10,677.96
  6. Step 6: Final answer
    x = 8,957.42

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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.