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Finding the Fourth Proportional to 10,967.29, 16,412.65 and 8,969.83

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Solution

The fourth proportional to 10,967.29, 16,412.65 and 8,969.83 is: 13,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.29 : 16,412.65 = 8,969.83 : x
  2. Step 2: Convert to fraction form
    10,967.29/16,412.65 = 8,969.83/x
  3. Step 3: Cross multiply
    10,967.29x = 16,412.65 × 8,969.83
  4. Step 4: Simplify right side
    10,967.29x = 147,218,680.35
  5. Step 5: Solve for x
    x = 147,218,680.35/10,967.29
  6. Step 6: Final answer
    x = 13,423.43

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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.