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Finding the Fourth Proportional to 7,548.54, 11,318.49 and 3,162.30

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Solution

The fourth proportional to 7,548.54, 11,318.49 and 3,162.30 is: 4,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.54 : 11,318.49 = 3,162.30 : x
  2. Step 2: Convert to fraction form
    7,548.54/11,318.49 = 3,162.30/x
  3. Step 3: Cross multiply
    7,548.54x = 11,318.49 × 3,162.30
  4. Step 4: Simplify right side
    7,548.54x = 35,792,460.93
  5. Step 5: Solve for x
    x = 35,792,460.93/7,548.54
  6. Step 6: Final answer
    x = 4,741.64

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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.