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Finding the Fourth Proportional to 11,479.86, 15,842.97 and 7,002.39

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Solution

The fourth proportional to 11,479.86, 15,842.97 and 7,002.39 is: 9,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,479.86 : 15,842.97 = 7,002.39 : x
  2. Step 2: Convert to fraction form
    11,479.86/15,842.97 = 7,002.39/x
  3. Step 3: Cross multiply
    11,479.86x = 15,842.97 × 7,002.39
  4. Step 4: Simplify right side
    11,479.86x = 110,938,654.70
  5. Step 5: Solve for x
    x = 110,938,654.70/11,479.86
  6. Step 6: Final answer
    x = 9,663.76

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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.