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Finding the Fourth Proportional to 10,920.50, 16,383.48 and 3,524.79

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Solution

The fourth proportional to 10,920.50, 16,383.48 and 3,524.79 is: 5,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.50 : 16,383.48 = 3,524.79 : x
  2. Step 2: Convert to fraction form
    10,920.50/16,383.48 = 3,524.79/x
  3. Step 3: Cross multiply
    10,920.50x = 16,383.48 × 3,524.79
  4. Step 4: Simplify right side
    10,920.50x = 57,748,326.47
  5. Step 5: Solve for x
    x = 57,748,326.47/10,920.50
  6. Step 6: Final answer
    x = 5,288.07

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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.