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Finding the Fourth Proportional to 7,397.64, 11,096.46 and 2,203.38

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Solution

The fourth proportional to 7,397.64, 11,096.46 and 2,203.38 is: 3,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.64 : 11,096.46 = 2,203.38 : x
  2. Step 2: Convert to fraction form
    7,397.64/11,096.46 = 2,203.38/x
  3. Step 3: Cross multiply
    7,397.64x = 11,096.46 × 2,203.38
  4. Step 4: Simplify right side
    7,397.64x = 24,449,718.03
  5. Step 5: Solve for x
    x = 24,449,718.03/7,397.64
  6. Step 6: Final answer
    x = 3,305.07

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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.