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Finding the Fourth Proportional to 8,414.16, 11,613.96 and 5,627.76

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Solution

The fourth proportional to 8,414.16, 11,613.96 and 5,627.76 is: 7,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.16 : 11,613.96 = 5,627.76 : x
  2. Step 2: Convert to fraction form
    8,414.16/11,613.96 = 5,627.76/x
  3. Step 3: Cross multiply
    8,414.16x = 11,613.96 × 5,627.76
  4. Step 4: Simplify right side
    8,414.16x = 65,360,579.53
  5. Step 5: Solve for x
    x = 65,360,579.53/8,414.16
  6. Step 6: Final answer
    x = 7,767.93

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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.