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Finding the Fourth Proportional to 11,788.47, 16,265.97 and 8,652.15

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Solution

The fourth proportional to 11,788.47, 16,265.97 and 8,652.15 is: 11,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.47 : 16,265.97 = 8,652.15 : x
  2. Step 2: Convert to fraction form
    11,788.47/16,265.97 = 8,652.15/x
  3. Step 3: Cross multiply
    11,788.47x = 16,265.97 × 8,652.15
  4. Step 4: Simplify right side
    11,788.47x = 140,735,612.34
  5. Step 5: Solve for x
    x = 140,735,612.34/11,788.47
  6. Step 6: Final answer
    x = 11,938.41

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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.