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Finding the Fourth Proportional to 10,873.42, 16,309.61 and 3,853.32

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Solution

The fourth proportional to 10,873.42, 16,309.61 and 3,853.32 is: 5,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.42 : 16,309.61 = 3,853.32 : x
  2. Step 2: Convert to fraction form
    10,873.42/16,309.61 = 3,853.32/x
  3. Step 3: Cross multiply
    10,873.42x = 16,309.61 × 3,853.32
  4. Step 4: Simplify right side
    10,873.42x = 62,846,146.41
  5. Step 5: Solve for x
    x = 62,846,146.41/10,873.42
  6. Step 6: Final answer
    x = 5,779.80

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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.