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Finding the Fourth Proportional to 7,475.96, 11,213 and 3,092.84

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Solution

The fourth proportional to 7,475.96, 11,213 and 3,092.84 is: 4,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.96 : 11,213 = 3,092.84 : x
  2. Step 2: Convert to fraction form
    7,475.96/11,213 = 3,092.84/x
  3. Step 3: Cross multiply
    7,475.96x = 11,213 × 3,092.84
  4. Step 4: Simplify right side
    7,475.96x = 34,680,014.92
  5. Step 5: Solve for x
    x = 34,680,014.92/7,475.96
  6. Step 6: Final answer
    x = 4,638.87

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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.