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Finding the Fourth Proportional to 7,151.27, 9,873.36 and 5,828.14

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Solution

The fourth proportional to 7,151.27, 9,873.36 and 5,828.14 is: 8,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.27 : 9,873.36 = 5,828.14 : x
  2. Step 2: Convert to fraction form
    7,151.27/9,873.36 = 5,828.14/x
  3. Step 3: Cross multiply
    7,151.27x = 9,873.36 × 5,828.14
  4. Step 4: Simplify right side
    7,151.27x = 57,543,324.35
  5. Step 5: Solve for x
    x = 57,543,324.35/7,151.27
  6. Step 6: Final answer
    x = 8,046.59

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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.