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Finding the Fourth Proportional to 7,162.26, 9,885.14 and 4,178.08

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Solution

The fourth proportional to 7,162.26, 9,885.14 and 4,178.08 is: 5,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.26 : 9,885.14 = 4,178.08 : x
  2. Step 2: Convert to fraction form
    7,162.26/9,885.14 = 4,178.08/x
  3. Step 3: Cross multiply
    7,162.26x = 9,885.14 × 4,178.08
  4. Step 4: Simplify right side
    7,162.26x = 41,300,912.87
  5. Step 5: Solve for x
    x = 41,300,912.87/7,162.26
  6. Step 6: Final answer
    x = 5,766.47

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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.