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Finding the Fourth Proportional to 7,258.75, 10,016.27 and 4,071.38

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Solution

The fourth proportional to 7,258.75, 10,016.27 and 4,071.38 is: 5,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.75 : 10,016.27 = 4,071.38 : x
  2. Step 2: Convert to fraction form
    7,258.75/10,016.27 = 4,071.38/x
  3. Step 3: Cross multiply
    7,258.75x = 10,016.27 × 4,071.38
  4. Step 4: Simplify right side
    7,258.75x = 40,780,046.04
  5. Step 5: Solve for x
    x = 40,780,046.04/7,258.75
  6. Step 6: Final answer
    x = 5,618.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.