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Finding the Fourth Proportional to 7,438.17, 10,266.12 and 4,920.42

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Solution

The fourth proportional to 7,438.17, 10,266.12 and 4,920.42 is: 6,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.17 : 10,266.12 = 4,920.42 : x
  2. Step 2: Convert to fraction form
    7,438.17/10,266.12 = 4,920.42/x
  3. Step 3: Cross multiply
    7,438.17x = 10,266.12 × 4,920.42
  4. Step 4: Simplify right side
    7,438.17x = 50,513,622.17
  5. Step 5: Solve for x
    x = 50,513,622.17/7,438.17
  6. Step 6: Final answer
    x = 6,791.14

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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.