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Finding the Fourth Proportional to 10,967, 15,134.52 and 5,999

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Solution

The fourth proportional to 10,967, 15,134.52 and 5,999 is: 8,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967 : 15,134.52 = 5,999 : x
  2. Step 2: Convert to fraction form
    10,967/15,134.52 = 5,999/x
  3. Step 3: Cross multiply
    10,967x = 15,134.52 × 5,999
  4. Step 4: Simplify right side
    10,967x = 90,791,985.48
  5. Step 5: Solve for x
    x = 90,791,985.48/10,967
  6. Step 6: Final answer
    x = 8,278.65

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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.