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Finding the Fourth Proportional to 10,967.11, 16,459.12 and 8,162.28

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Solution

The fourth proportional to 10,967.11, 16,459.12 and 8,162.28 is: 12,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.11 : 16,459.12 = 8,162.28 : x
  2. Step 2: Convert to fraction form
    10,967.11/16,459.12 = 8,162.28/x
  3. Step 3: Cross multiply
    10,967.11x = 16,459.12 × 8,162.28
  4. Step 4: Simplify right side
    10,967.11x = 134,343,956.20
  5. Step 5: Solve for x
    x = 134,343,956.20/10,967.11
  6. Step 6: Final answer
    x = 12,249.72

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Why These Related Problems?

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