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Finding the Fourth Proportional to 25,797.65, 38,696.52 and 7,077.94

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Solution

The fourth proportional to 25,797.65, 38,696.52 and 7,077.94 is: 10,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.65 : 38,696.52 = 7,077.94 : x
  2. Step 2: Convert to fraction form
    25,797.65/38,696.52 = 7,077.94/x
  3. Step 3: Cross multiply
    25,797.65x = 38,696.52 × 7,077.94
  4. Step 4: Simplify right side
    25,797.65x = 273,891,550.03
  5. Step 5: Solve for x
    x = 273,891,550.03/25,797.65
  6. Step 6: Final answer
    x = 10,616.92

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Why These Related Problems?

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