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Finding the Fourth Proportional to 10,774.81, 16,159.07 and 4,199.43

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Solution

The fourth proportional to 10,774.81, 16,159.07 and 4,199.43 is: 6,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.81 : 16,159.07 = 4,199.43 : x
  2. Step 2: Convert to fraction form
    10,774.81/16,159.07 = 4,199.43/x
  3. Step 3: Cross multiply
    10,774.81x = 16,159.07 × 4,199.43
  4. Step 4: Simplify right side
    10,774.81x = 67,858,893.83
  5. Step 5: Solve for x
    x = 67,858,893.83/10,774.81
  6. Step 6: Final answer
    x = 6,297.92

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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.