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Finding the Fourth Proportional to 7,178.68, 9,911.46 and 5,290.48

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Solution

The fourth proportional to 7,178.68, 9,911.46 and 5,290.48 is: 7,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.68 : 9,911.46 = 5,290.48 : x
  2. Step 2: Convert to fraction form
    7,178.68/9,911.46 = 5,290.48/x
  3. Step 3: Cross multiply
    7,178.68x = 9,911.46 × 5,290.48
  4. Step 4: Simplify right side
    7,178.68x = 52,436,380.90
  5. Step 5: Solve for x
    x = 52,436,380.90/7,178.68
  6. Step 6: Final answer
    x = 7,304.46

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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.