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Finding the Fourth Proportional to 7,396.96, 11,098.32 and 4,113.76

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Solution

The fourth proportional to 7,396.96, 11,098.32 and 4,113.76 is: 6,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.96 : 11,098.32 = 4,113.76 : x
  2. Step 2: Convert to fraction form
    7,396.96/11,098.32 = 4,113.76/x
  3. Step 3: Cross multiply
    7,396.96x = 11,098.32 × 4,113.76
  4. Step 4: Simplify right side
    7,396.96x = 45,655,824.88
  5. Step 5: Solve for x
    x = 45,655,824.88/7,396.96
  6. Step 6: Final answer
    x = 6,172.24

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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.