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Finding the Fourth Proportional to 11,588.80, 15,992.54 and 6,283.62

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Solution

The fourth proportional to 11,588.80, 15,992.54 and 6,283.62 is: 8,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.80 : 15,992.54 = 6,283.62 : x
  2. Step 2: Convert to fraction form
    11,588.80/15,992.54 = 6,283.62/x
  3. Step 3: Cross multiply
    11,588.80x = 15,992.54 × 6,283.62
  4. Step 4: Simplify right side
    11,588.80x = 100,491,044.19
  5. Step 5: Solve for x
    x = 100,491,044.19/11,588.80
  6. Step 6: Final answer
    x = 8,671.39

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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.