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Finding the Fourth Proportional to 12,738.65, 17,579.63 and 7,073.25

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Solution

The fourth proportional to 12,738.65, 17,579.63 and 7,073.25 is: 9,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738.65 : 17,579.63 = 7,073.25 : x
  2. Step 2: Convert to fraction form
    12,738.65/17,579.63 = 7,073.25/x
  3. Step 3: Cross multiply
    12,738.65x = 17,579.63 × 7,073.25
  4. Step 4: Simplify right side
    12,738.65x = 124,345,082.53
  5. Step 5: Solve for x
    x = 124,345,082.53/12,738.65
  6. Step 6: Final answer
    x = 9,761.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.