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Finding the Fourth Proportional to 11,648.84, 17,475.03 and 3,859.47

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Solution

The fourth proportional to 11,648.84, 17,475.03 and 3,859.47 is: 5,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.84 : 17,475.03 = 3,859.47 : x
  2. Step 2: Convert to fraction form
    11,648.84/17,475.03 = 3,859.47/x
  3. Step 3: Cross multiply
    11,648.84x = 17,475.03 × 3,859.47
  4. Step 4: Simplify right side
    11,648.84x = 67,444,354.03
  5. Step 5: Solve for x
    x = 67,444,354.03/11,648.84
  6. Step 6: Final answer
    x = 5,789.79

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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.