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Finding the Fourth Proportional to 7,477.98, 11,217.54 and 2,284.26

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Solution

The fourth proportional to 7,477.98, 11,217.54 and 2,284.26 is: 3,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.98 : 11,217.54 = 2,284.26 : x
  2. Step 2: Convert to fraction form
    7,477.98/11,217.54 = 2,284.26/x
  3. Step 3: Cross multiply
    7,477.98x = 11,217.54 × 2,284.26
  4. Step 4: Simplify right side
    7,477.98x = 25,623,777.92
  5. Step 5: Solve for x
    x = 25,623,777.92/7,477.98
  6. Step 6: Final answer
    x = 3,426.56

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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.