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Finding the Fourth Proportional to 7,258.65, 10,016.76 and 4,234.32

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Solution

The fourth proportional to 7,258.65, 10,016.76 and 4,234.32 is: 5,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.65 : 10,016.76 = 4,234.32 : x
  2. Step 2: Convert to fraction form
    7,258.65/10,016.76 = 4,234.32/x
  3. Step 3: Cross multiply
    7,258.65x = 10,016.76 × 4,234.32
  4. Step 4: Simplify right side
    7,258.65x = 42,414,167.20
  5. Step 5: Solve for x
    x = 42,414,167.20/7,258.65
  6. Step 6: Final answer
    x = 5,843.26

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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.