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Finding the Fourth Proportional to 10,989.10, 16,454.49 and 7,703.74

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Solution

The fourth proportional to 10,989.10, 16,454.49 and 7,703.74 is: 11,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.10 : 16,454.49 = 7,703.74 : x
  2. Step 2: Convert to fraction form
    10,989.10/16,454.49 = 7,703.74/x
  3. Step 3: Cross multiply
    10,989.10x = 16,454.49 × 7,703.74
  4. Step 4: Simplify right side
    10,989.10x = 126,761,112.79
  5. Step 5: Solve for x
    x = 126,761,112.79/10,989.10
  6. Step 6: Final answer
    x = 11,535.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.