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Finding the Fourth Proportional to 7,517.38, 11,275.80 and 1,970.68

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Solution

The fourth proportional to 7,517.38, 11,275.80 and 1,970.68 is: 2,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.38 : 11,275.80 = 1,970.68 : x
  2. Step 2: Convert to fraction form
    7,517.38/11,275.80 = 1,970.68/x
  3. Step 3: Cross multiply
    7,517.38x = 11,275.80 × 1,970.68
  4. Step 4: Simplify right side
    7,517.38x = 22,220,993.54
  5. Step 5: Solve for x
    x = 22,220,993.54/7,517.38
  6. Step 6: Final answer
    x = 2,955.95

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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.