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Finding the Fourth Proportional to 10,724, 16,083.52 and 2,933.40

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Solution

The fourth proportional to 10,724, 16,083.52 and 2,933.40 is: 4,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724 : 16,083.52 = 2,933.40 : x
  2. Step 2: Convert to fraction form
    10,724/16,083.52 = 2,933.40/x
  3. Step 3: Cross multiply
    10,724x = 16,083.52 × 2,933.40
  4. Step 4: Simplify right side
    10,724x = 47,179,397.57
  5. Step 5: Solve for x
    x = 47,179,397.57/10,724
  6. Step 6: Final answer
    x = 4,399.42

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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.