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Finding the Fourth Proportional to 7,151.27, 10,728.35 and 2,471.45

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Solution

The fourth proportional to 7,151.27, 10,728.35 and 2,471.45 is: 3,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.27 : 10,728.35 = 2,471.45 : x
  2. Step 2: Convert to fraction form
    7,151.27/10,728.35 = 2,471.45/x
  3. Step 3: Cross multiply
    7,151.27x = 10,728.35 × 2,471.45
  4. Step 4: Simplify right side
    7,151.27x = 26,514,580.61
  5. Step 5: Solve for x
    x = 26,514,580.61/7,151.27
  6. Step 6: Final answer
    x = 3,707.67

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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.