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Finding the Fourth Proportional to 7,741.26, 11,613.26 and 2,476.74

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Solution

The fourth proportional to 7,741.26, 11,613.26 and 2,476.74 is: 3,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.26 : 11,613.26 = 2,476.74 : x
  2. Step 2: Convert to fraction form
    7,741.26/11,613.26 = 2,476.74/x
  3. Step 3: Cross multiply
    7,741.26x = 11,613.26 × 2,476.74
  4. Step 4: Simplify right side
    7,741.26x = 28,763,013.19
  5. Step 5: Solve for x
    x = 28,763,013.19/7,741.26
  6. Step 6: Final answer
    x = 3,715.55

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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.