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Finding the Fourth Proportional to 7,151.88, 10,727.36 and 2,471.76

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Solution

The fourth proportional to 7,151.88, 10,727.36 and 2,471.76 is: 3,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.88 : 10,727.36 = 2,471.76 : x
  2. Step 2: Convert to fraction form
    7,151.88/10,727.36 = 2,471.76/x
  3. Step 3: Cross multiply
    7,151.88x = 10,727.36 × 2,471.76
  4. Step 4: Simplify right side
    7,151.88x = 26,515,459.35
  5. Step 5: Solve for x
    x = 26,515,459.35/7,151.88
  6. Step 6: Final answer
    x = 3,707.48

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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.