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Finding the Fourth Proportional to 11,433.50, 15,778.08 and 6,397.64

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Solution

The fourth proportional to 11,433.50, 15,778.08 and 6,397.64 is: 8,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.50 : 15,778.08 = 6,397.64 : x
  2. Step 2: Convert to fraction form
    11,433.50/15,778.08 = 6,397.64/x
  3. Step 3: Cross multiply
    11,433.50x = 15,778.08 × 6,397.64
  4. Step 4: Simplify right side
    11,433.50x = 100,942,475.73
  5. Step 5: Solve for x
    x = 100,942,475.73/11,433.50
  6. Step 6: Final answer
    x = 8,828.66

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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.