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Finding the Fourth Proportional to 7,862.80, 11,791.64 and 3,480.16

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Solution

The fourth proportional to 7,862.80, 11,791.64 and 3,480.16 is: 5,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.80 : 11,791.64 = 3,480.16 : x
  2. Step 2: Convert to fraction form
    7,862.80/11,791.64 = 3,480.16/x
  3. Step 3: Cross multiply
    7,862.80x = 11,791.64 × 3,480.16
  4. Step 4: Simplify right side
    7,862.80x = 41,036,793.86
  5. Step 5: Solve for x
    x = 41,036,793.86/7,862.80
  6. Step 6: Final answer
    x = 5,219.11

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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.