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Finding the Fourth Proportional to 6,714.52, 10,071.46 and 2,034.32

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Solution

The fourth proportional to 6,714.52, 10,071.46 and 2,034.32 is: 3,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.52 : 10,071.46 = 2,034.32 : x
  2. Step 2: Convert to fraction form
    6,714.52/10,071.46 = 2,034.32/x
  3. Step 3: Cross multiply
    6,714.52x = 10,071.46 × 2,034.32
  4. Step 4: Simplify right side
    6,714.52x = 20,488,572.51
  5. Step 5: Solve for x
    x = 20,488,572.51/6,714.52
  6. Step 6: Final answer
    x = 3,051.38

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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.