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Finding the Fourth Proportional to 8,441.20, 11,648.79 and 4,664.61

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Solution

The fourth proportional to 8,441.20, 11,648.79 and 4,664.61 is: 6,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.20 : 11,648.79 = 4,664.61 : x
  2. Step 2: Convert to fraction form
    8,441.20/11,648.79 = 4,664.61/x
  3. Step 3: Cross multiply
    8,441.20x = 11,648.79 × 4,664.61
  4. Step 4: Simplify right side
    8,441.20x = 54,337,062.32
  5. Step 5: Solve for x
    x = 54,337,062.32/8,441.20
  6. Step 6: Final answer
    x = 6,437.13

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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.