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Finding the Fourth Proportional to 27,988.83, 41,983.29 and 8,265.87

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Solution

The fourth proportional to 27,988.83, 41,983.29 and 8,265.87 is: 12,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,988.83 : 41,983.29 = 8,265.87 : x
  2. Step 2: Convert to fraction form
    27,988.83/41,983.29 = 8,265.87/x
  3. Step 3: Cross multiply
    27,988.83x = 41,983.29 × 8,265.87
  4. Step 4: Simplify right side
    27,988.83x = 347,028,417.31
  5. Step 5: Solve for x
    x = 347,028,417.31/27,988.83
  6. Step 6: Final answer
    x = 12,398.82

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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.