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Finding the Fourth Proportional to 10,443.10, 14,411.49 and 5,727.41

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Solution

The fourth proportional to 10,443.10, 14,411.49 and 5,727.41 is: 7,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.10 : 14,411.49 = 5,727.41 : x
  2. Step 2: Convert to fraction form
    10,443.10/14,411.49 = 5,727.41/x
  3. Step 3: Cross multiply
    10,443.10x = 14,411.49 × 5,727.41
  4. Step 4: Simplify right side
    10,443.10x = 82,540,511.94
  5. Step 5: Solve for x
    x = 82,540,511.94/10,443.10
  6. Step 6: Final answer
    x = 7,903.84

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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.