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Finding the Fourth Proportional to 7,477.98, 11,216.97 and 2,283.18

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Solution

The fourth proportional to 7,477.98, 11,216.97 and 2,283.18 is: 3,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.98 : 11,216.97 = 2,283.18 : x
  2. Step 2: Convert to fraction form
    7,477.98/11,216.97 = 2,283.18/x
  3. Step 3: Cross multiply
    7,477.98x = 11,216.97 × 2,283.18
  4. Step 4: Simplify right side
    7,477.98x = 25,610,361.56
  5. Step 5: Solve for x
    x = 25,610,361.56/7,477.98
  6. Step 6: Final answer
    x = 3,424.77

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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.