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Finding the Fourth Proportional to 11,298.20, 16,957.71 and 5,755.50

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Solution

The fourth proportional to 11,298.20, 16,957.71 and 5,755.50 is: 8,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.20 : 16,957.71 = 5,755.50 : x
  2. Step 2: Convert to fraction form
    11,298.20/16,957.71 = 5,755.50/x
  3. Step 3: Cross multiply
    11,298.20x = 16,957.71 × 5,755.50
  4. Step 4: Simplify right side
    11,298.20x = 97,600,099.91
  5. Step 5: Solve for x
    x = 97,600,099.91/11,298.20
  6. Step 6: Final answer
    x = 8,638.56

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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.