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Finding the Fourth Proportional to 11,220.50, 16,833.18 and 4,295

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Solution

The fourth proportional to 11,220.50, 16,833.18 and 4,295 is: 6,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.50 : 16,833.18 = 4,295 : x
  2. Step 2: Convert to fraction form
    11,220.50/16,833.18 = 4,295/x
  3. Step 3: Cross multiply
    11,220.50x = 16,833.18 × 4,295
  4. Step 4: Simplify right side
    11,220.50x = 72,298,508.10
  5. Step 5: Solve for x
    x = 72,298,508.10/11,220.50
  6. Step 6: Final answer
    x = 6,443.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.