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Finding the Fourth Proportional to 11,407.98, 15,742.85 and 6,372.27

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Solution

The fourth proportional to 11,407.98, 15,742.85 and 6,372.27 is: 8,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.98 : 15,742.85 = 6,372.27 : x
  2. Step 2: Convert to fraction form
    11,407.98/15,742.85 = 6,372.27/x
  3. Step 3: Cross multiply
    11,407.98x = 15,742.85 × 6,372.27
  4. Step 4: Simplify right side
    11,407.98x = 100,317,658.91
  5. Step 5: Solve for x
    x = 100,317,658.91/11,407.98
  6. Step 6: Final answer
    x = 8,793.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.