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Finding the Fourth Proportional to 8,714.41, 13,071.65 and 2,140.59

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Solution

The fourth proportional to 8,714.41, 13,071.65 and 2,140.59 is: 3,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.41 : 13,071.65 = 2,140.59 : x
  2. Step 2: Convert to fraction form
    8,714.41/13,071.65 = 2,140.59/x
  3. Step 3: Cross multiply
    8,714.41x = 13,071.65 × 2,140.59
  4. Step 4: Simplify right side
    8,714.41x = 27,981,069.12
  5. Step 5: Solve for x
    x = 27,981,069.12/8,714.41
  6. Step 6: Final answer
    x = 3,210.90

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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.