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Finding the Fourth Proportional to 7,192.74, 10,790.78 and 2,262.25

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Solution

The fourth proportional to 7,192.74, 10,790.78 and 2,262.25 is: 3,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.74 : 10,790.78 = 2,262.25 : x
  2. Step 2: Convert to fraction form
    7,192.74/10,790.78 = 2,262.25/x
  3. Step 3: Cross multiply
    7,192.74x = 10,790.78 × 2,262.25
  4. Step 4: Simplify right side
    7,192.74x = 24,411,430.74
  5. Step 5: Solve for x
    x = 24,411,430.74/7,192.74
  6. Step 6: Final answer
    x = 3,393.90

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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.