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Finding the Fourth Proportional to 7,687.68, 10,598.34 and 5,165.40

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Solution

The fourth proportional to 7,687.68, 10,598.34 and 5,165.40 is: 7,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.68 : 10,598.34 = 5,165.40 : x
  2. Step 2: Convert to fraction form
    7,687.68/10,598.34 = 5,165.40/x
  3. Step 3: Cross multiply
    7,687.68x = 10,598.34 × 5,165.40
  4. Step 4: Simplify right side
    7,687.68x = 54,744,665.44
  5. Step 5: Solve for x
    x = 54,744,665.44/7,687.68
  6. Step 6: Final answer
    x = 7,121.09

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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.