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Finding the Fourth Proportional to 7,162.75, 9,885.27 and 4,178.04

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Solution

The fourth proportional to 7,162.75, 9,885.27 and 4,178.04 is: 5,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.75 : 9,885.27 = 4,178.04 : x
  2. Step 2: Convert to fraction form
    7,162.75/9,885.27 = 4,178.04/x
  3. Step 3: Cross multiply
    7,162.75x = 9,885.27 × 4,178.04
  4. Step 4: Simplify right side
    7,162.75x = 41,301,053.47
  5. Step 5: Solve for x
    x = 41,301,053.47/7,162.75
  6. Step 6: Final answer
    x = 5,766.09

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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.