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Finding the Fourth Proportional to 10,967.13, 16,451.16 and 9,131.19

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Solution

The fourth proportional to 10,967.13, 16,451.16 and 9,131.19 is: 13,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.13 : 16,451.16 = 9,131.19 : x
  2. Step 2: Convert to fraction form
    10,967.13/16,451.16 = 9,131.19/x
  3. Step 3: Cross multiply
    10,967.13x = 16,451.16 × 9,131.19
  4. Step 4: Simplify right side
    10,967.13x = 150,218,667.68
  5. Step 5: Solve for x
    x = 150,218,667.68/10,967.13
  6. Step 6: Final answer
    x = 13,697.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.