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Finding the Fourth Proportional to 10,324.82, 15,487.24 and 4,164.50

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Solution

The fourth proportional to 10,324.82, 15,487.24 and 4,164.50 is: 6,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.82 : 15,487.24 = 4,164.50 : x
  2. Step 2: Convert to fraction form
    10,324.82/15,487.24 = 4,164.50/x
  3. Step 3: Cross multiply
    10,324.82x = 15,487.24 × 4,164.50
  4. Step 4: Simplify right side
    10,324.82x = 64,496,610.98
  5. Step 5: Solve for x
    x = 64,496,610.98/10,324.82
  6. Step 6: Final answer
    x = 6,246.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.