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Finding the Fourth Proportional to 8,472.24, 11,699.38 and 5,493.06

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Solution

The fourth proportional to 8,472.24, 11,699.38 and 5,493.06 is: 7,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.24 : 11,699.38 = 5,493.06 : x
  2. Step 2: Convert to fraction form
    8,472.24/11,699.38 = 5,493.06/x
  3. Step 3: Cross multiply
    8,472.24x = 11,699.38 × 5,493.06
  4. Step 4: Simplify right side
    8,472.24x = 64,265,396.30
  5. Step 5: Solve for x
    x = 64,265,396.30/8,472.24
  6. Step 6: Final answer
    x = 7,585.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.