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Finding the Fourth Proportional to 11,314.66, 15,613.82 and 6,279.10

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Solution

The fourth proportional to 11,314.66, 15,613.82 and 6,279.10 is: 8,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.66 : 15,613.82 = 6,279.10 : x
  2. Step 2: Convert to fraction form
    11,314.66/15,613.82 = 6,279.10/x
  3. Step 3: Cross multiply
    11,314.66x = 15,613.82 × 6,279.10
  4. Step 4: Simplify right side
    11,314.66x = 98,040,737.16
  5. Step 5: Solve for x
    x = 98,040,737.16/11,314.66
  6. Step 6: Final answer
    x = 8,664.93

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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.