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Finding the Fourth Proportional to 7,714.26, 11,561.18 and 3,494.36

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Solution

The fourth proportional to 7,714.26, 11,561.18 and 3,494.36 is: 5,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.26 : 11,561.18 = 3,494.36 : x
  2. Step 2: Convert to fraction form
    7,714.26/11,561.18 = 3,494.36/x
  3. Step 3: Cross multiply
    7,714.26x = 11,561.18 × 3,494.36
  4. Step 4: Simplify right side
    7,714.26x = 40,398,924.94
  5. Step 5: Solve for x
    x = 40,398,924.94/7,714.26
  6. Step 6: Final answer
    x = 5,236.92

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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.