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Finding the Fourth Proportional to 10,579.68, 14,579.82 and 7,747.92

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Solution

The fourth proportional to 10,579.68, 14,579.82 and 7,747.92 is: 10,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.68 : 14,579.82 = 7,747.92 : x
  2. Step 2: Convert to fraction form
    10,579.68/14,579.82 = 7,747.92/x
  3. Step 3: Cross multiply
    10,579.68x = 14,579.82 × 7,747.92
  4. Step 4: Simplify right side
    10,579.68x = 112,963,278.97
  5. Step 5: Solve for x
    x = 112,963,278.97/10,579.68
  6. Step 6: Final answer
    x = 10,677.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.