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Finding the Fourth Proportional to 7,258.26, 10,016.38 and 3,946.26

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Solution

The fourth proportional to 7,258.26, 10,016.38 and 3,946.26 is: 5,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.26 : 10,016.38 = 3,946.26 : x
  2. Step 2: Convert to fraction form
    7,258.26/10,016.38 = 3,946.26/x
  3. Step 3: Cross multiply
    7,258.26x = 10,016.38 × 3,946.26
  4. Step 4: Simplify right side
    7,258.26x = 39,527,239.74
  5. Step 5: Solve for x
    x = 39,527,239.74/7,258.26
  6. Step 6: Final answer
    x = 5,445.83

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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.