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Finding the Fourth Proportional to 7,071.29, 10,611.78 and 2,454.29

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Solution

The fourth proportional to 7,071.29, 10,611.78 and 2,454.29 is: 3,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.29 : 10,611.78 = 2,454.29 : x
  2. Step 2: Convert to fraction form
    7,071.29/10,611.78 = 2,454.29/x
  3. Step 3: Cross multiply
    7,071.29x = 10,611.78 × 2,454.29
  4. Step 4: Simplify right side
    7,071.29x = 26,044,332.48
  5. Step 5: Solve for x
    x = 26,044,332.48/7,071.29
  6. Step 6: Final answer
    x = 3,683.11

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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.