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Finding the Fourth Proportional to 10,866.41, 16,291.62 and 3,466.61

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Solution

The fourth proportional to 10,866.41, 16,291.62 and 3,466.61 is: 5,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.41 : 16,291.62 = 3,466.61 : x
  2. Step 2: Convert to fraction form
    10,866.41/16,291.62 = 3,466.61/x
  3. Step 3: Cross multiply
    10,866.41x = 16,291.62 × 3,466.61
  4. Step 4: Simplify right side
    10,866.41x = 56,476,692.81
  5. Step 5: Solve for x
    x = 56,476,692.81/10,866.41
  6. Step 6: Final answer
    x = 5,197.36

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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.