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Finding the Fourth Proportional to 7,691.29, 10,613.99 and 4,154.50

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Solution

The fourth proportional to 7,691.29, 10,613.99 and 4,154.50 is: 5,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.29 : 10,613.99 = 4,154.50 : x
  2. Step 2: Convert to fraction form
    7,691.29/10,613.99 = 4,154.50/x
  3. Step 3: Cross multiply
    7,691.29x = 10,613.99 × 4,154.50
  4. Step 4: Simplify right side
    7,691.29x = 44,095,813.95
  5. Step 5: Solve for x
    x = 44,095,813.95/7,691.29
  6. Step 6: Final answer
    x = 5,733.21

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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.