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Finding the Fourth Proportional to 7,497.42, 11,247.33 and 3,798.15

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Solution

The fourth proportional to 7,497.42, 11,247.33 and 3,798.15 is: 5,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.42 : 11,247.33 = 3,798.15 : x
  2. Step 2: Convert to fraction form
    7,497.42/11,247.33 = 3,798.15/x
  3. Step 3: Cross multiply
    7,497.42x = 11,247.33 × 3,798.15
  4. Step 4: Simplify right side
    7,497.42x = 42,719,046.44
  5. Step 5: Solve for x
    x = 42,719,046.44/7,497.42
  6. Step 6: Final answer
    x = 5,697.83

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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.