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Finding the Fourth Proportional to 7,714.98, 11,561.13 and 4,204.44

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Solution

The fourth proportional to 7,714.98, 11,561.13 and 4,204.44 is: 6,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.98 : 11,561.13 = 4,204.44 : x
  2. Step 2: Convert to fraction form
    7,714.98/11,561.13 = 4,204.44/x
  3. Step 3: Cross multiply
    7,714.98x = 11,561.13 × 4,204.44
  4. Step 4: Simplify right side
    7,714.98x = 48,608,077.42
  5. Step 5: Solve for x
    x = 48,608,077.42/7,714.98
  6. Step 6: Final answer
    x = 6,300.48

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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.