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Finding the Fourth Proportional to 10,443.06, 14,410.09 and 5,967.10

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Solution

The fourth proportional to 10,443.06, 14,410.09 and 5,967.10 is: 8,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.06 : 14,410.09 = 5,967.10 : x
  2. Step 2: Convert to fraction form
    10,443.06/14,410.09 = 5,967.10/x
  3. Step 3: Cross multiply
    10,443.06x = 14,410.09 × 5,967.10
  4. Step 4: Simplify right side
    10,443.06x = 85,986,382.18
  5. Step 5: Solve for x
    x = 85,986,382.18/10,443.06
  6. Step 6: Final answer
    x = 8,233.83

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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.