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Finding the Fourth Proportional to 7,471.42, 11,185.05 and 6,548.72

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Solution

The fourth proportional to 7,471.42, 11,185.05 and 6,548.72 is: 9,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.42 : 11,185.05 = 6,548.72 : x
  2. Step 2: Convert to fraction form
    7,471.42/11,185.05 = 6,548.72/x
  3. Step 3: Cross multiply
    7,471.42x = 11,185.05 × 6,548.72
  4. Step 4: Simplify right side
    7,471.42x = 73,247,760.64
  5. Step 5: Solve for x
    x = 73,247,760.64/7,471.42
  6. Step 6: Final answer
    x = 9,803.73

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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.