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Finding the Fourth Proportional to 10,967.74, 16,441.17 and 3,567

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Solution

The fourth proportional to 10,967.74, 16,441.17 and 3,567 is: 5,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.74 : 16,441.17 = 3,567 : x
  2. Step 2: Convert to fraction form
    10,967.74/16,441.17 = 3,567/x
  3. Step 3: Cross multiply
    10,967.74x = 16,441.17 × 3,567
  4. Step 4: Simplify right side
    10,967.74x = 58,645,653.39
  5. Step 5: Solve for x
    x = 58,645,653.39/10,967.74
  6. Step 6: Final answer
    x = 5,347.10

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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.