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Finding the Fourth Proportional to 7,071.92, 10,610.04 and 2,458.16

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Solution

The fourth proportional to 7,071.92, 10,610.04 and 2,458.16 is: 3,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.92 : 10,610.04 = 2,458.16 : x
  2. Step 2: Convert to fraction form
    7,071.92/10,610.04 = 2,458.16/x
  3. Step 3: Cross multiply
    7,071.92x = 10,610.04 × 2,458.16
  4. Step 4: Simplify right side
    7,071.92x = 26,081,175.93
  5. Step 5: Solve for x
    x = 26,081,175.93/7,071.92
  6. Step 6: Final answer
    x = 3,687.99

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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.