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Finding the Fourth Proportional to 7,446.27, 10,275.46 and 4,302.25

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Solution

The fourth proportional to 7,446.27, 10,275.46 and 4,302.25 is: 5,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.27 : 10,275.46 = 4,302.25 : x
  2. Step 2: Convert to fraction form
    7,446.27/10,275.46 = 4,302.25/x
  3. Step 3: Cross multiply
    7,446.27x = 10,275.46 × 4,302.25
  4. Step 4: Simplify right side
    7,446.27x = 44,207,597.79
  5. Step 5: Solve for x
    x = 44,207,597.79/7,446.27
  6. Step 6: Final answer
    x = 5,936.88

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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.