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Finding the Fourth Proportional to 7,613.46, 11,394.24 and 6,382.26

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Solution

The fourth proportional to 7,613.46, 11,394.24 and 6,382.26 is: 9,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.46 : 11,394.24 = 6,382.26 : x
  2. Step 2: Convert to fraction form
    7,613.46/11,394.24 = 6,382.26/x
  3. Step 3: Cross multiply
    7,613.46x = 11,394.24 × 6,382.26
  4. Step 4: Simplify right side
    7,613.46x = 72,721,002.18
  5. Step 5: Solve for x
    x = 72,721,002.18/7,613.46
  6. Step 6: Final answer
    x = 9,551.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.