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Finding the Fourth Proportional to 11,793.71, 16,274.93 and 6,488.48

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Solution

The fourth proportional to 11,793.71, 16,274.93 and 6,488.48 is: 8,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.71 : 16,274.93 = 6,488.48 : x
  2. Step 2: Convert to fraction form
    11,793.71/16,274.93 = 6,488.48/x
  3. Step 3: Cross multiply
    11,793.71x = 16,274.93 × 6,488.48
  4. Step 4: Simplify right side
    11,793.71x = 105,599,566.05
  5. Step 5: Solve for x
    x = 105,599,566.05/11,793.71
  6. Step 6: Final answer
    x = 8,953.89

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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.