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Finding the Fourth Proportional to 8,441.36, 11,648.47 and 4,664.48

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Solution

The fourth proportional to 8,441.36, 11,648.47 and 4,664.48 is: 6,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.36 : 11,648.47 = 4,664.48 : x
  2. Step 2: Convert to fraction form
    8,441.36/11,648.47 = 4,664.48/x
  3. Step 3: Cross multiply
    8,441.36x = 11,648.47 × 4,664.48
  4. Step 4: Simplify right side
    8,441.36x = 54,334,055.35
  5. Step 5: Solve for x
    x = 54,334,055.35/8,441.36
  6. Step 6: Final answer
    x = 6,436.65

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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.