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Finding the Fourth Proportional to 10,893.16, 16,336.86 and 3,102.40

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Solution

The fourth proportional to 10,893.16, 16,336.86 and 3,102.40 is: 4,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.16 : 16,336.86 = 3,102.40 : x
  2. Step 2: Convert to fraction form
    10,893.16/16,336.86 = 3,102.40/x
  3. Step 3: Cross multiply
    10,893.16x = 16,336.86 × 3,102.40
  4. Step 4: Simplify right side
    10,893.16x = 50,683,474.46
  5. Step 5: Solve for x
    x = 50,683,474.46/10,893.16
  6. Step 6: Final answer
    x = 4,652.78

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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.