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Finding the Fourth Proportional to 8,171.95, 11,275.56 and 5,343.46

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Solution

The fourth proportional to 8,171.95, 11,275.56 and 5,343.46 is: 7,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.95 : 11,275.56 = 5,343.46 : x
  2. Step 2: Convert to fraction form
    8,171.95/11,275.56 = 5,343.46/x
  3. Step 3: Cross multiply
    8,171.95x = 11,275.56 × 5,343.46
  4. Step 4: Simplify right side
    8,171.95x = 60,250,503.84
  5. Step 5: Solve for x
    x = 60,250,503.84/8,171.95
  6. Step 6: Final answer
    x = 7,372.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.