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Finding the Fourth Proportional to 12,375.40, 17,077.84 and 6,997.75

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Solution

The fourth proportional to 12,375.40, 17,077.84 and 6,997.75 is: 9,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.40 : 17,077.84 = 6,997.75 : x
  2. Step 2: Convert to fraction form
    12,375.40/17,077.84 = 6,997.75/x
  3. Step 3: Cross multiply
    12,375.40x = 17,077.84 × 6,997.75
  4. Step 4: Simplify right side
    12,375.40x = 119,506,454.86
  5. Step 5: Solve for x
    x = 119,506,454.86/12,375.40
  6. Step 6: Final answer
    x = 9,656.78

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