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Finding the Fourth Proportional to 10,940.40, 16,411.36 and 3,149.28

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Solution

The fourth proportional to 10,940.40, 16,411.36 and 3,149.28 is: 4,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.40 : 16,411.36 = 3,149.28 : x
  2. Step 2: Convert to fraction form
    10,940.40/16,411.36 = 3,149.28/x
  3. Step 3: Cross multiply
    10,940.40x = 16,411.36 × 3,149.28
  4. Step 4: Simplify right side
    10,940.40x = 51,683,967.82
  5. Step 5: Solve for x
    x = 51,683,967.82/10,940.40
  6. Step 6: Final answer
    x = 4,724.14

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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.