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Finding the Fourth Proportional to 8,714.46, 13,071.75 and 2,140.70

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Solution

The fourth proportional to 8,714.46, 13,071.75 and 2,140.70 is: 3,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.46 : 13,071.75 = 2,140.70 : x
  2. Step 2: Convert to fraction form
    8,714.46/13,071.75 = 2,140.70/x
  3. Step 3: Cross multiply
    8,714.46x = 13,071.75 × 2,140.70
  4. Step 4: Simplify right side
    8,714.46x = 27,982,695.23
  5. Step 5: Solve for x
    x = 27,982,695.23/8,714.46
  6. Step 6: Final answer
    x = 3,211.06

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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.