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Finding the Fourth Proportional to 11,314.18, 15,613.68 and 6,278.74

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Solution

The fourth proportional to 11,314.18, 15,613.68 and 6,278.74 is: 8,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.18 : 15,613.68 = 6,278.74 : x
  2. Step 2: Convert to fraction form
    11,314.18/15,613.68 = 6,278.74/x
  3. Step 3: Cross multiply
    11,314.18x = 15,613.68 × 6,278.74
  4. Step 4: Simplify right side
    11,314.18x = 98,034,237.16
  5. Step 5: Solve for x
    x = 98,034,237.16/11,314.18
  6. Step 6: Final answer
    x = 8,664.72

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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.