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Finding the Fourth Proportional to 10,443.60, 14,412.04 and 5,967.44

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Solution

The fourth proportional to 10,443.60, 14,412.04 and 5,967.44 is: 8,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.60 : 14,412.04 = 5,967.44 : x
  2. Step 2: Convert to fraction form
    10,443.60/14,412.04 = 5,967.44/x
  3. Step 3: Cross multiply
    10,443.60x = 14,412.04 × 5,967.44
  4. Step 4: Simplify right side
    10,443.60x = 86,002,983.98
  5. Step 5: Solve for x
    x = 86,002,983.98/10,443.60
  6. Step 6: Final answer
    x = 8,234.99

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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.