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Finding the Fourth Proportional to 7,396.16, 11,097.12 and 3,503.84

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Solution

The fourth proportional to 7,396.16, 11,097.12 and 3,503.84 is: 5,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.16 : 11,097.12 = 3,503.84 : x
  2. Step 2: Convert to fraction form
    7,396.16/11,097.12 = 3,503.84/x
  3. Step 3: Cross multiply
    7,396.16x = 11,097.12 × 3,503.84
  4. Step 4: Simplify right side
    7,396.16x = 38,882,532.94
  5. Step 5: Solve for x
    x = 38,882,532.94/7,396.16
  6. Step 6: Final answer
    x = 5,257.12

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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.