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Finding the Fourth Proportional to 7,397.84, 11,096.14 and 2,203.71

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Solution

The fourth proportional to 7,397.84, 11,096.14 and 2,203.71 is: 3,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.84 : 11,096.14 = 2,203.71 : x
  2. Step 2: Convert to fraction form
    7,397.84/11,096.14 = 2,203.71/x
  3. Step 3: Cross multiply
    7,397.84x = 11,096.14 × 2,203.71
  4. Step 4: Simplify right side
    7,397.84x = 24,452,674.68
  5. Step 5: Solve for x
    x = 24,452,674.68/7,397.84
  6. Step 6: Final answer
    x = 3,305.38

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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.