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Finding the Fourth Proportional to 8,269.07, 11,411.82 and 4,732.20

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Solution

The fourth proportional to 8,269.07, 11,411.82 and 4,732.20 is: 6,530.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.07 : 11,411.82 = 4,732.20 : x
  2. Step 2: Convert to fraction form
    8,269.07/11,411.82 = 4,732.20/x
  3. Step 3: Cross multiply
    8,269.07x = 11,411.82 × 4,732.20
  4. Step 4: Simplify right side
    8,269.07x = 54,003,014.60
  5. Step 5: Solve for x
    x = 54,003,014.60/8,269.07
  6. Step 6: Final answer
    x = 6,530.73

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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.