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Finding the Fourth Proportional to 7,291.36, 10,062.92 and 4,148.04

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Solution

The fourth proportional to 7,291.36, 10,062.92 and 4,148.04 is: 5,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.36 : 10,062.92 = 4,148.04 : x
  2. Step 2: Convert to fraction form
    7,291.36/10,062.92 = 4,148.04/x
  3. Step 3: Cross multiply
    7,291.36x = 10,062.92 × 4,148.04
  4. Step 4: Simplify right side
    7,291.36x = 41,741,394.68
  5. Step 5: Solve for x
    x = 41,741,394.68/7,291.36
  6. Step 6: Final answer
    x = 5,724.77

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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.