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Finding the Fourth Proportional to 7,841.68, 11,751.54 and 5,640.04

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Solution

The fourth proportional to 7,841.68, 11,751.54 and 5,640.04 is: 8,452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.68 : 11,751.54 = 5,640.04 : x
  2. Step 2: Convert to fraction form
    7,841.68/11,751.54 = 5,640.04/x
  3. Step 3: Cross multiply
    7,841.68x = 11,751.54 × 5,640.04
  4. Step 4: Simplify right side
    7,841.68x = 66,279,155.66
  5. Step 5: Solve for x
    x = 66,279,155.66/7,841.68
  6. Step 6: Final answer
    x = 8,452.16

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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.