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Finding the Fourth Proportional to 10,683.48, 16,024.76 and 3,288.68

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Solution

The fourth proportional to 10,683.48, 16,024.76 and 3,288.68 is: 4,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.48 : 16,024.76 = 3,288.68 : x
  2. Step 2: Convert to fraction form
    10,683.48/16,024.76 = 3,288.68/x
  3. Step 3: Cross multiply
    10,683.48x = 16,024.76 × 3,288.68
  4. Step 4: Simplify right side
    10,683.48x = 52,700,331.34
  5. Step 5: Solve for x
    x = 52,700,331.34/10,683.48
  6. Step 6: Final answer
    x = 4,932.88

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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.