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Finding the Fourth Proportional to 7,438.27, 10,265.73 and 4,294.48

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Solution

The fourth proportional to 7,438.27, 10,265.73 and 4,294.48 is: 5,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.27 : 10,265.73 = 4,294.48 : x
  2. Step 2: Convert to fraction form
    7,438.27/10,265.73 = 4,294.48/x
  3. Step 3: Cross multiply
    7,438.27x = 10,265.73 × 4,294.48
  4. Step 4: Simplify right side
    7,438.27x = 44,085,972.17
  5. Step 5: Solve for x
    x = 44,085,972.17/7,438.27
  6. Step 6: Final answer
    x = 5,926.91

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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.