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Finding the Fourth Proportional to 8,514.83, 12,768.59 and 2,671.89

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Solution

The fourth proportional to 8,514.83, 12,768.59 and 2,671.89 is: 4,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.83 : 12,768.59 = 2,671.89 : x
  2. Step 2: Convert to fraction form
    8,514.83/12,768.59 = 2,671.89/x
  3. Step 3: Cross multiply
    8,514.83x = 12,768.59 × 2,671.89
  4. Step 4: Simplify right side
    8,514.83x = 34,116,274.61
  5. Step 5: Solve for x
    x = 34,116,274.61/8,514.83
  6. Step 6: Final answer
    x = 4,006.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.