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Finding the Fourth Proportional to 7,798.42, 10,761.81 and 4,441.24

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Solution

The fourth proportional to 7,798.42, 10,761.81 and 4,441.24 is: 6,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.42 : 10,761.81 = 4,441.24 : x
  2. Step 2: Convert to fraction form
    7,798.42/10,761.81 = 4,441.24/x
  3. Step 3: Cross multiply
    7,798.42x = 10,761.81 × 4,441.24
  4. Step 4: Simplify right side
    7,798.42x = 47,795,743.04
  5. Step 5: Solve for x
    x = 47,795,743.04/7,798.42
  6. Step 6: Final answer
    x = 6,128.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.