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Finding the Fourth Proportional to 11,482.38, 15,845.68 and 6,514.38

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Solution

The fourth proportional to 11,482.38, 15,845.68 and 6,514.38 is: 8,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.38 : 15,845.68 = 6,514.38 : x
  2. Step 2: Convert to fraction form
    11,482.38/15,845.68 = 6,514.38/x
  3. Step 3: Cross multiply
    11,482.38x = 15,845.68 × 6,514.38
  4. Step 4: Simplify right side
    11,482.38x = 103,224,780.88
  5. Step 5: Solve for x
    x = 103,224,780.88/11,482.38
  6. Step 6: Final answer
    x = 8,989.84

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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.