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Finding the Fourth Proportional to 7,764.53, 10,714.68 and 4,227.72

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Solution

The fourth proportional to 7,764.53, 10,714.68 and 4,227.72 is: 5,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.53 : 10,714.68 = 4,227.72 : x
  2. Step 2: Convert to fraction form
    7,764.53/10,714.68 = 4,227.72/x
  3. Step 3: Cross multiply
    7,764.53x = 10,714.68 × 4,227.72
  4. Step 4: Simplify right side
    7,764.53x = 45,298,666.93
  5. Step 5: Solve for x
    x = 45,298,666.93/7,764.53
  6. Step 6: Final answer
    x = 5,834.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.