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Finding the Fourth Proportional to 11,185.46, 16,778.14 and 2,865.46

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Solution

The fourth proportional to 11,185.46, 16,778.14 and 2,865.46 is: 4,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.46 : 16,778.14 = 2,865.46 : x
  2. Step 2: Convert to fraction form
    11,185.46/16,778.14 = 2,865.46/x
  3. Step 3: Cross multiply
    11,185.46x = 16,778.14 × 2,865.46
  4. Step 4: Simplify right side
    11,185.46x = 48,077,089.04
  5. Step 5: Solve for x
    x = 48,077,089.04/11,185.46
  6. Step 6: Final answer
    x = 4,298.18

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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.