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Finding the Fourth Proportional to 11,494.20, 15,860.30 and 6,648.78

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Solution

The fourth proportional to 11,494.20, 15,860.30 and 6,648.78 is: 9,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.20 : 15,860.30 = 6,648.78 : x
  2. Step 2: Convert to fraction form
    11,494.20/15,860.30 = 6,648.78/x
  3. Step 3: Cross multiply
    11,494.20x = 15,860.30 × 6,648.78
  4. Step 4: Simplify right side
    11,494.20x = 105,451,612.19
  5. Step 5: Solve for x
    x = 105,451,612.19/11,494.20
  6. Step 6: Final answer
    x = 9,174.33

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