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Finding the Fourth Proportional to 7,691.21, 10,613.88 and 4,154.42

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Solution

The fourth proportional to 7,691.21, 10,613.88 and 4,154.42 is: 5,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.21 : 10,613.88 = 4,154.42 : x
  2. Step 2: Convert to fraction form
    7,691.21/10,613.88 = 4,154.42/x
  3. Step 3: Cross multiply
    7,691.21x = 10,613.88 × 4,154.42
  4. Step 4: Simplify right side
    7,691.21x = 44,094,539.57
  5. Step 5: Solve for x
    x = 44,094,539.57/7,691.21
  6. Step 6: Final answer
    x = 5,733.11

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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.