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Finding the Fourth Proportional to 7,725.87, 10,658.79 and 5,714.10

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Solution

The fourth proportional to 7,725.87, 10,658.79 and 5,714.10 is: 7,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.87 : 10,658.79 = 5,714.10 : x
  2. Step 2: Convert to fraction form
    7,725.87/10,658.79 = 5,714.10/x
  3. Step 3: Cross multiply
    7,725.87x = 10,658.79 × 5,714.10
  4. Step 4: Simplify right side
    7,725.87x = 60,905,391.94
  5. Step 5: Solve for x
    x = 60,905,391.94/7,725.87
  6. Step 6: Final answer
    x = 7,883.31

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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.