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Finding the Fourth Proportional to 7,397.68, 11,097.88 and 2,202.96

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Solution

The fourth proportional to 7,397.68, 11,097.88 and 2,202.96 is: 3,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.68 : 11,097.88 = 2,202.96 : x
  2. Step 2: Convert to fraction form
    7,397.68/11,097.88 = 2,202.96/x
  3. Step 3: Cross multiply
    7,397.68x = 11,097.88 × 2,202.96
  4. Step 4: Simplify right side
    7,397.68x = 24,448,185.72
  5. Step 5: Solve for x
    x = 24,448,185.72/7,397.68
  6. Step 6: Final answer
    x = 3,304.84

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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.