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Finding the Fourth Proportional to 10,863.86, 16,293.65 and 3,466.32

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Solution

The fourth proportional to 10,863.86, 16,293.65 and 3,466.32 is: 5,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.86 : 16,293.65 = 3,466.32 : x
  2. Step 2: Convert to fraction form
    10,863.86/16,293.65 = 3,466.32/x
  3. Step 3: Cross multiply
    10,863.86x = 16,293.65 × 3,466.32
  4. Step 4: Simplify right side
    10,863.86x = 56,478,987.54
  5. Step 5: Solve for x
    x = 56,478,987.54/10,863.86
  6. Step 6: Final answer
    x = 5,198.80

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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.