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Finding the Fourth Proportional to 7,112.42, 10,669.20 and 1,918.22

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Solution

The fourth proportional to 7,112.42, 10,669.20 and 1,918.22 is: 2,877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.42 : 10,669.20 = 1,918.22 : x
  2. Step 2: Convert to fraction form
    7,112.42/10,669.20 = 1,918.22/x
  3. Step 3: Cross multiply
    7,112.42x = 10,669.20 × 1,918.22
  4. Step 4: Simplify right side
    7,112.42x = 20,465,872.82
  5. Step 5: Solve for x
    x = 20,465,872.82/7,112.42
  6. Step 6: Final answer
    x = 2,877.48

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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.