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Finding the Fourth Proportional to 7,469.42, 11,202.30 and 3,088.13

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Solution

The fourth proportional to 7,469.42, 11,202.30 and 3,088.13 is: 4,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.42 : 11,202.30 = 3,088.13 : x
  2. Step 2: Convert to fraction form
    7,469.42/11,202.30 = 3,088.13/x
  3. Step 3: Cross multiply
    7,469.42x = 11,202.30 × 3,088.13
  4. Step 4: Simplify right side
    7,469.42x = 34,594,102.69
  5. Step 5: Solve for x
    x = 34,594,102.69/7,469.42
  6. Step 6: Final answer
    x = 4,631.43

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