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Finding the Fourth Proportional to 27,107.31, 40,656.84 and 7,387.41

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Solution

The fourth proportional to 27,107.31, 40,656.84 and 7,387.41 is: 11,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.31 : 40,656.84 = 7,387.41 : x
  2. Step 2: Convert to fraction form
    27,107.31/40,656.84 = 7,387.41/x
  3. Step 3: Cross multiply
    27,107.31x = 40,656.84 × 7,387.41
  4. Step 4: Simplify right side
    27,107.31x = 300,348,746.38
  5. Step 5: Solve for x
    x = 300,348,746.38/27,107.31
  6. Step 6: Final answer
    x = 11,079.99

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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.