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Finding the Fourth Proportional to 10,745.04, 16,110 and 4,165.68

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Solution

The fourth proportional to 10,745.04, 16,110 and 4,165.68 is: 6,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.04 : 16,110 = 4,165.68 : x
  2. Step 2: Convert to fraction form
    10,745.04/16,110 = 4,165.68/x
  3. Step 3: Cross multiply
    10,745.04x = 16,110 × 4,165.68
  4. Step 4: Simplify right side
    10,745.04x = 67,109,104.80
  5. Step 5: Solve for x
    x = 67,109,104.80/10,745.04
  6. Step 6: Final answer
    x = 6,245.59

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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.