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Finding the Fourth Proportional to 26,265.25, 39,397.88 and 7,797.25

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Solution

The fourth proportional to 26,265.25, 39,397.88 and 7,797.25 is: 11,695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,265.25 : 39,397.88 = 7,797.25 : x
  2. Step 2: Convert to fraction form
    26,265.25/39,397.88 = 7,797.25/x
  3. Step 3: Cross multiply
    26,265.25x = 39,397.88 × 7,797.25
  4. Step 4: Simplify right side
    26,265.25x = 307,195,119.83
  5. Step 5: Solve for x
    x = 307,195,119.83/26,265.25
  6. Step 6: Final answer
    x = 11,695.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.