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Finding the Fourth Proportional to 10,443.25, 14,411.82 and 5,727.70

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Solution

The fourth proportional to 10,443.25, 14,411.82 and 5,727.70 is: 7,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.25 : 14,411.82 = 5,727.70 : x
  2. Step 2: Convert to fraction form
    10,443.25/14,411.82 = 5,727.70/x
  3. Step 3: Cross multiply
    10,443.25x = 14,411.82 × 5,727.70
  4. Step 4: Simplify right side
    10,443.25x = 82,546,581.41
  5. Step 5: Solve for x
    x = 82,546,581.41/10,443.25
  6. Step 6: Final answer
    x = 7,904.30

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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.