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Finding the Fourth Proportional to 7,795.26, 10,757.46 and 4,258.46

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Solution

The fourth proportional to 7,795.26, 10,757.46 and 4,258.46 is: 5,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.26 : 10,757.46 = 4,258.46 : x
  2. Step 2: Convert to fraction form
    7,795.26/10,757.46 = 4,258.46/x
  3. Step 3: Cross multiply
    7,795.26x = 10,757.46 × 4,258.46
  4. Step 4: Simplify right side
    7,795.26x = 45,810,213.11
  5. Step 5: Solve for x
    x = 45,810,213.11/7,795.26
  6. Step 6: Final answer
    x = 5,876.68

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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.