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Finding the Fourth Proportional to 7,680.57, 10,641.99 and 7,514.49

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Solution

The fourth proportional to 7,680.57, 10,641.99 and 7,514.49 is: 10,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.57 : 10,641.99 = 7,514.49 : x
  2. Step 2: Convert to fraction form
    7,680.57/10,641.99 = 7,514.49/x
  3. Step 3: Cross multiply
    7,680.57x = 10,641.99 × 7,514.49
  4. Step 4: Simplify right side
    7,680.57x = 79,969,127.44
  5. Step 5: Solve for x
    x = 79,969,127.44/7,680.57
  6. Step 6: Final answer
    x = 10,411.87

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.