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Finding the Fourth Proportional to 27,892.59, 41,833.49 and 7,901.91

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Solution

The fourth proportional to 27,892.59, 41,833.49 and 7,901.91 is: 11,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.59 : 41,833.49 = 7,901.91 : x
  2. Step 2: Convert to fraction form
    27,892.59/41,833.49 = 7,901.91/x
  3. Step 3: Cross multiply
    27,892.59x = 41,833.49 × 7,901.91
  4. Step 4: Simplify right side
    27,892.59x = 330,564,433.46
  5. Step 5: Solve for x
    x = 330,564,433.46/27,892.59
  6. Step 6: Final answer
    x = 11,851.34

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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.