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Finding the Fourth Proportional to 8,714.76, 13,064.79 and 3,780.69

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Solution

The fourth proportional to 8,714.76, 13,064.79 and 3,780.69 is: 5,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.76 : 13,064.79 = 3,780.69 : x
  2. Step 2: Convert to fraction form
    8,714.76/13,064.79 = 3,780.69/x
  3. Step 3: Cross multiply
    8,714.76x = 13,064.79 × 3,780.69
  4. Step 4: Simplify right side
    8,714.76x = 49,393,920.91
  5. Step 5: Solve for x
    x = 49,393,920.91/8,714.76
  6. Step 6: Final answer
    x = 5,667.85

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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.