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Finding the Fourth Proportional to 11,314.18, 15,613.73 and 6,838.12

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Solution

The fourth proportional to 11,314.18, 15,613.73 and 6,838.12 is: 9,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.18 : 15,613.73 = 6,838.12 : x
  2. Step 2: Convert to fraction form
    11,314.18/15,613.73 = 6,838.12/x
  3. Step 3: Cross multiply
    11,314.18x = 15,613.73 × 6,838.12
  4. Step 4: Simplify right side
    11,314.18x = 106,768,559.39
  5. Step 5: Solve for x
    x = 106,768,559.39/11,314.18
  6. Step 6: Final answer
    x = 9,436.70

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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.