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Finding the Fourth Proportional to 7,161.42, 9,882.54 and 4,017.78

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Solution

The fourth proportional to 7,161.42, 9,882.54 and 4,017.78 is: 5,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.42 : 9,882.54 = 4,017.78 : x
  2. Step 2: Convert to fraction form
    7,161.42/9,882.54 = 4,017.78/x
  3. Step 3: Cross multiply
    7,161.42x = 9,882.54 × 4,017.78
  4. Step 4: Simplify right side
    7,161.42x = 39,705,871.56
  5. Step 5: Solve for x
    x = 39,705,871.56/7,161.42
  6. Step 6: Final answer
    x = 5,544.41

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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.