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Finding the Fourth Proportional to 7,171.77, 10,758.67 and 3,470.95

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Solution

The fourth proportional to 7,171.77, 10,758.67 and 3,470.95 is: 5,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.77 : 10,758.67 = 3,470.95 : x
  2. Step 2: Convert to fraction form
    7,171.77/10,758.67 = 3,470.95/x
  3. Step 3: Cross multiply
    7,171.77x = 10,758.67 × 3,470.95
  4. Step 4: Simplify right side
    7,171.77x = 37,342,829.93
  5. Step 5: Solve for x
    x = 37,342,829.93/7,171.77
  6. Step 6: Final answer
    x = 5,206.92

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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.