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Finding the Fourth Proportional to 7,801.38, 11,701.62 and 3,418.86

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Solution

The fourth proportional to 7,801.38, 11,701.62 and 3,418.86 is: 5,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.38 : 11,701.62 = 3,418.86 : x
  2. Step 2: Convert to fraction form
    7,801.38/11,701.62 = 3,418.86/x
  3. Step 3: Cross multiply
    7,801.38x = 11,701.62 × 3,418.86
  4. Step 4: Simplify right side
    7,801.38x = 40,006,200.55
  5. Step 5: Solve for x
    x = 40,006,200.55/7,801.38
  6. Step 6: Final answer
    x = 5,128.09

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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.