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Finding the Fourth Proportional to 10,443.56, 14,411.74 and 5,727.56

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Solution

The fourth proportional to 10,443.56, 14,411.74 and 5,727.56 is: 7,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.56 : 14,411.74 = 5,727.56 : x
  2. Step 2: Convert to fraction form
    10,443.56/14,411.74 = 5,727.56/x
  3. Step 3: Cross multiply
    10,443.56x = 14,411.74 × 5,727.56
  4. Step 4: Simplify right side
    10,443.56x = 82,544,105.55
  5. Step 5: Solve for x
    x = 82,544,105.55/10,443.56
  6. Step 6: Final answer
    x = 7,903.83

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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.