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Finding the Fourth Proportional to 10,443.74, 14,409.16 and 5,967.23

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Solution

The fourth proportional to 10,443.74, 14,409.16 and 5,967.23 is: 8,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.74 : 14,409.16 = 5,967.23 : x
  2. Step 2: Convert to fraction form
    10,443.74/14,409.16 = 5,967.23/x
  3. Step 3: Cross multiply
    10,443.74x = 14,409.16 × 5,967.23
  4. Step 4: Simplify right side
    10,443.74x = 85,982,771.83
  5. Step 5: Solve for x
    x = 85,982,771.83/10,443.74
  6. Step 6: Final answer
    x = 8,232.95

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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.