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Finding the Fourth Proportional to 6,714.26, 10,071.38 and 2,034.21

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Solution

The fourth proportional to 6,714.26, 10,071.38 and 2,034.21 is: 3,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.26 : 10,071.38 = 2,034.21 : x
  2. Step 2: Convert to fraction form
    6,714.26/10,071.38 = 2,034.21/x
  3. Step 3: Cross multiply
    6,714.26x = 10,071.38 × 2,034.21
  4. Step 4: Simplify right side
    6,714.26x = 20,487,307.00
  5. Step 5: Solve for x
    x = 20,487,307.00/6,714.26
  6. Step 6: Final answer
    x = 3,051.32

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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.