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Finding the Fourth Proportional to 12,097.16, 18,139.92 and 7,937

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Solution

The fourth proportional to 12,097.16, 18,139.92 and 7,937 is: 11,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.16 : 18,139.92 = 7,937 : x
  2. Step 2: Convert to fraction form
    12,097.16/18,139.92 = 7,937/x
  3. Step 3: Cross multiply
    12,097.16x = 18,139.92 × 7,937
  4. Step 4: Simplify right side
    12,097.16x = 143,976,545.04
  5. Step 5: Solve for x
    x = 143,976,545.04/12,097.16
  6. Step 6: Final answer
    x = 11,901.68

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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.