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Finding the Fourth Proportional to 7,714.20, 10,644.84 and 4,569.78

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Solution

The fourth proportional to 7,714.20, 10,644.84 and 4,569.78 is: 6,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.20 : 10,644.84 = 4,569.78 : x
  2. Step 2: Convert to fraction form
    7,714.20/10,644.84 = 4,569.78/x
  3. Step 3: Cross multiply
    7,714.20x = 10,644.84 × 4,569.78
  4. Step 4: Simplify right side
    7,714.20x = 48,644,576.94
  5. Step 5: Solve for x
    x = 48,644,576.94/7,714.20
  6. Step 6: Final answer
    x = 6,305.85

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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.