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Finding the Fourth Proportional to 11,793.77, 16,275.65 and 6,488.59

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Solution

The fourth proportional to 11,793.77, 16,275.65 and 6,488.59 is: 8,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.77 : 16,275.65 = 6,488.59 : x
  2. Step 2: Convert to fraction form
    11,793.77/16,275.65 = 6,488.59/x
  3. Step 3: Cross multiply
    11,793.77x = 16,275.65 × 6,488.59
  4. Step 4: Simplify right side
    11,793.77x = 105,605,938.46
  5. Step 5: Solve for x
    x = 105,605,938.46/11,793.77
  6. Step 6: Final answer
    x = 8,954.39

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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.