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Finding the Fourth Proportional to 7,396, 11,096.76 and 3,014.56

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Solution

The fourth proportional to 7,396, 11,096.76 and 3,014.56 is: 4,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396 : 11,096.76 = 3,014.56 : x
  2. Step 2: Convert to fraction form
    7,396/11,096.76 = 3,014.56/x
  3. Step 3: Cross multiply
    7,396x = 11,096.76 × 3,014.56
  4. Step 4: Simplify right side
    7,396x = 33,451,848.83
  5. Step 5: Solve for x
    x = 33,451,848.83/7,396
  6. Step 6: Final answer
    x = 4,522.96

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Why These Related Problems?

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