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Finding the Fourth Proportional to 10,919.12, 16,382.13 and 3,898.98

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Solution

The fourth proportional to 10,919.12, 16,382.13 and 3,898.98 is: 5,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.12 : 16,382.13 = 3,898.98 : x
  2. Step 2: Convert to fraction form
    10,919.12/16,382.13 = 3,898.98/x
  3. Step 3: Cross multiply
    10,919.12x = 16,382.13 × 3,898.98
  4. Step 4: Simplify right side
    10,919.12x = 63,873,597.23
  5. Step 5: Solve for x
    x = 63,873,597.23/10,919.12
  6. Step 6: Final answer
    x = 5,849.70

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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.