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Finding the Fourth Proportional to 10,987.38, 15,162.63 and 5,951.61

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Solution

The fourth proportional to 10,987.38, 15,162.63 and 5,951.61 is: 8,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.38 : 15,162.63 = 5,951.61 : x
  2. Step 2: Convert to fraction form
    10,987.38/15,162.63 = 5,951.61/x
  3. Step 3: Cross multiply
    10,987.38x = 15,162.63 × 5,951.61
  4. Step 4: Simplify right side
    10,987.38x = 90,242,038.02
  5. Step 5: Solve for x
    x = 90,242,038.02/10,987.38
  6. Step 6: Final answer
    x = 8,213.24

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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.