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Finding the Fourth Proportional to 27,363.76, 41,045.04 and 7,641.88

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Solution

The fourth proportional to 27,363.76, 41,045.04 and 7,641.88 is: 11,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,363.76 : 41,045.04 = 7,641.88 : x
  2. Step 2: Convert to fraction form
    27,363.76/41,045.04 = 7,641.88/x
  3. Step 3: Cross multiply
    27,363.76x = 41,045.04 × 7,641.88
  4. Step 4: Simplify right side
    27,363.76x = 313,661,270.28
  5. Step 5: Solve for x
    x = 313,661,270.28/27,363.76
  6. Step 6: Final answer
    x = 11,462.65

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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.