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Finding the Fourth Proportional to 27,332, 40,997.28 and 7,609.76

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Solution

The fourth proportional to 27,332, 40,997.28 and 7,609.76 is: 11,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,332 : 40,997.28 = 7,609.76 : x
  2. Step 2: Convert to fraction form
    27,332/40,997.28 = 7,609.76/x
  3. Step 3: Cross multiply
    27,332x = 40,997.28 × 7,609.76
  4. Step 4: Simplify right side
    27,332x = 311,979,461.45
  5. Step 5: Solve for x
    x = 311,979,461.45/27,332
  6. Step 6: Final answer
    x = 11,414.44

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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.