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Finding the Fourth Proportional to 7,697.90, 10,667.72 and 7,550.24

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Solution

The fourth proportional to 7,697.90, 10,667.72 and 7,550.24 is: 10,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.90 : 10,667.72 = 7,550.24 : x
  2. Step 2: Convert to fraction form
    7,697.90/10,667.72 = 7,550.24/x
  3. Step 3: Cross multiply
    7,697.90x = 10,667.72 × 7,550.24
  4. Step 4: Simplify right side
    7,697.90x = 80,543,846.25
  5. Step 5: Solve for x
    x = 80,543,846.25/7,697.90
  6. Step 6: Final answer
    x = 10,463.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.