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Finding the Fourth Proportional to 8,324.16, 11,463.84 and 7,667.52

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Solution

The fourth proportional to 8,324.16, 11,463.84 and 7,667.52 is: 10,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.16 : 11,463.84 = 7,667.52 : x
  2. Step 2: Convert to fraction form
    8,324.16/11,463.84 = 7,667.52/x
  3. Step 3: Cross multiply
    8,324.16x = 11,463.84 × 7,667.52
  4. Step 4: Simplify right side
    8,324.16x = 87,899,222.48
  5. Step 5: Solve for x
    x = 87,899,222.48/8,324.16
  6. Step 6: Final answer
    x = 10,559.53

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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.