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Finding the Fourth Proportional to 7,129.25, 10,698.33 and 3,431.87

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Solution

The fourth proportional to 7,129.25, 10,698.33 and 3,431.87 is: 5,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.25 : 10,698.33 = 3,431.87 : x
  2. Step 2: Convert to fraction form
    7,129.25/10,698.33 = 3,431.87/x
  3. Step 3: Cross multiply
    7,129.25x = 10,698.33 × 3,431.87
  4. Step 4: Simplify right side
    7,129.25x = 36,715,277.78
  5. Step 5: Solve for x
    x = 36,715,277.78/7,129.25
  6. Step 6: Final answer
    x = 5,149.95

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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.