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Finding the Fourth Proportional to 7,648.02, 11,464.74 and 2,450.25

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Solution

The fourth proportional to 7,648.02, 11,464.74 and 2,450.25 is: 3,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.02 : 11,464.74 = 2,450.25 : x
  2. Step 2: Convert to fraction form
    7,648.02/11,464.74 = 2,450.25/x
  3. Step 3: Cross multiply
    7,648.02x = 11,464.74 × 2,450.25
  4. Step 4: Simplify right side
    7,648.02x = 28,091,479.19
  5. Step 5: Solve for x
    x = 28,091,479.19/7,648.02
  6. Step 6: Final answer
    x = 3,673.04

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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.