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Finding the Fourth Proportional to 7,444.92, 11,167.20 and 1,822.62

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Solution

The fourth proportional to 7,444.92, 11,167.20 and 1,822.62 is: 2,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.92 : 11,167.20 = 1,822.62 : x
  2. Step 2: Convert to fraction form
    7,444.92/11,167.20 = 1,822.62/x
  3. Step 3: Cross multiply
    7,444.92x = 11,167.20 × 1,822.62
  4. Step 4: Simplify right side
    7,444.92x = 20,353,562.06
  5. Step 5: Solve for x
    x = 20,353,562.06/7,444.92
  6. Step 6: Final answer
    x = 2,733.89

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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.