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Finding the Fourth Proportional to 11,761.32, 16,230 and 7,046.04

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Solution

The fourth proportional to 11,761.32, 16,230 and 7,046.04 is: 9,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.32 : 16,230 = 7,046.04 : x
  2. Step 2: Convert to fraction form
    11,761.32/16,230 = 7,046.04/x
  3. Step 3: Cross multiply
    11,761.32x = 16,230 × 7,046.04
  4. Step 4: Simplify right side
    11,761.32x = 114,357,229.20
  5. Step 5: Solve for x
    x = 114,357,229.20/11,761.32
  6. Step 6: Final answer
    x = 9,723.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.