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Finding the Fourth Proportional to 8,714.92, 13,065.03 and 3,780.84

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Solution

The fourth proportional to 8,714.92, 13,065.03 and 3,780.84 is: 5,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.92 : 13,065.03 = 3,780.84 : x
  2. Step 2: Convert to fraction form
    8,714.92/13,065.03 = 3,780.84/x
  3. Step 3: Cross multiply
    8,714.92x = 13,065.03 × 3,780.84
  4. Step 4: Simplify right side
    8,714.92x = 49,396,788.03
  5. Step 5: Solve for x
    x = 49,396,788.03/8,714.92
  6. Step 6: Final answer
    x = 5,668.07

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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.