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Finding the Fourth Proportional to 7,454.68, 10,286.24 and 4,310.26

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Solution

The fourth proportional to 7,454.68, 10,286.24 and 4,310.26 is: 5,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.68 : 10,286.24 = 4,310.26 : x
  2. Step 2: Convert to fraction form
    7,454.68/10,286.24 = 4,310.26/x
  3. Step 3: Cross multiply
    7,454.68x = 10,286.24 × 4,310.26
  4. Step 4: Simplify right side
    7,454.68x = 44,336,368.82
  5. Step 5: Solve for x
    x = 44,336,368.82/7,454.68
  6. Step 6: Final answer
    x = 5,947.45

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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.