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Finding the Fourth Proportional to 12,868.19, 17,757.28 and 7,201.98

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Solution

The fourth proportional to 12,868.19, 17,757.28 and 7,201.98 is: 9,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.19 : 17,757.28 = 7,201.98 : x
  2. Step 2: Convert to fraction form
    12,868.19/17,757.28 = 7,201.98/x
  3. Step 3: Cross multiply
    12,868.19x = 17,757.28 × 7,201.98
  4. Step 4: Simplify right side
    12,868.19x = 127,887,614.10
  5. Step 5: Solve for x
    x = 127,887,614.10/12,868.19
  6. Step 6: Final answer
    x = 9,938.28

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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.