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Finding the Fourth Proportional to 11,314.44, 15,613.80 and 6,599.46

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Solution

The fourth proportional to 11,314.44, 15,613.80 and 6,599.46 is: 9,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.44 : 15,613.80 = 6,599.46 : x
  2. Step 2: Convert to fraction form
    11,314.44/15,613.80 = 6,599.46/x
  3. Step 3: Cross multiply
    11,314.44x = 15,613.80 × 6,599.46
  4. Step 4: Simplify right side
    11,314.44x = 103,042,648.55
  5. Step 5: Solve for x
    x = 103,042,648.55/11,314.44
  6. Step 6: Final answer
    x = 9,107.18

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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.