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Finding the Fourth Proportional to 7,477.44, 11,216.24 and 3,202.58

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Solution

The fourth proportional to 7,477.44, 11,216.24 and 3,202.58 is: 4,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.44 : 11,216.24 = 3,202.58 : x
  2. Step 2: Convert to fraction form
    7,477.44/11,216.24 = 3,202.58/x
  3. Step 3: Cross multiply
    7,477.44x = 11,216.24 × 3,202.58
  4. Step 4: Simplify right side
    7,477.44x = 35,920,905.90
  5. Step 5: Solve for x
    x = 35,920,905.90/7,477.44
  6. Step 6: Final answer
    x = 4,803.91

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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.