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Finding the Fourth Proportional to 10,347, 14,278.86 and 5,931

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Solution

The fourth proportional to 10,347, 14,278.86 and 5,931 is: 8,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347 : 14,278.86 = 5,931 : x
  2. Step 2: Convert to fraction form
    10,347/14,278.86 = 5,931/x
  3. Step 3: Cross multiply
    10,347x = 14,278.86 × 5,931
  4. Step 4: Simplify right side
    10,347x = 84,687,918.66
  5. Step 5: Solve for x
    x = 84,687,918.66/10,347
  6. Step 6: Final answer
    x = 8,184.78

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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.