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Finding the Fourth Proportional to 7,467.99, 11,202.48 and 2,787.91

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Solution

The fourth proportional to 7,467.99, 11,202.48 and 2,787.91 is: 4,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.99 : 11,202.48 = 2,787.91 : x
  2. Step 2: Convert to fraction form
    7,467.99/11,202.48 = 2,787.91/x
  3. Step 3: Cross multiply
    7,467.99x = 11,202.48 × 2,787.91
  4. Step 4: Simplify right side
    7,467.99x = 31,231,506.02
  5. Step 5: Solve for x
    x = 31,231,506.02/7,467.99
  6. Step 6: Final answer
    x = 4,182.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.