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Finding the Fourth Proportional to 10,159.97, 15,239.09 and 3,495.92

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Solution

The fourth proportional to 10,159.97, 15,239.09 and 3,495.92 is: 5,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.97 : 15,239.09 = 3,495.92 : x
  2. Step 2: Convert to fraction form
    10,159.97/15,239.09 = 3,495.92/x
  3. Step 3: Cross multiply
    10,159.97x = 15,239.09 × 3,495.92
  4. Step 4: Simplify right side
    10,159.97x = 53,274,545.84
  5. Step 5: Solve for x
    x = 53,274,545.84/10,159.97
  6. Step 6: Final answer
    x = 5,243.58

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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.