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Finding the Fourth Proportional to 10,275.68, 14,180.72 and 6,241.14

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Solution

The fourth proportional to 10,275.68, 14,180.72 and 6,241.14 is: 8,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.68 : 14,180.72 = 6,241.14 : x
  2. Step 2: Convert to fraction form
    10,275.68/14,180.72 = 6,241.14/x
  3. Step 3: Cross multiply
    10,275.68x = 14,180.72 × 6,241.14
  4. Step 4: Simplify right side
    10,275.68x = 88,503,902.60
  5. Step 5: Solve for x
    x = 88,503,902.60/10,275.68
  6. Step 6: Final answer
    x = 8,612.95

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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.