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Finding the Fourth Proportional to 7,473.83, 11,209.22 and 2,792.98

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Solution

The fourth proportional to 7,473.83, 11,209.22 and 2,792.98 is: 4,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.83 : 11,209.22 = 2,792.98 : x
  2. Step 2: Convert to fraction form
    7,473.83/11,209.22 = 2,792.98/x
  3. Step 3: Cross multiply
    7,473.83x = 11,209.22 × 2,792.98
  4. Step 4: Simplify right side
    7,473.83x = 31,307,099.25
  5. Step 5: Solve for x
    x = 31,307,099.25/7,473.83
  6. Step 6: Final answer
    x = 4,188.89

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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.