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Finding the Fourth Proportional to 6,411.36, 8,847.60 and 3,616.80

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Solution

The fourth proportional to 6,411.36, 8,847.60 and 3,616.80 is: 4,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.36 : 8,847.60 = 3,616.80 : x
  2. Step 2: Convert to fraction form
    6,411.36/8,847.60 = 3,616.80/x
  3. Step 3: Cross multiply
    6,411.36x = 8,847.60 × 3,616.80
  4. Step 4: Simplify right side
    6,411.36x = 31,999,999.68
  5. Step 5: Solve for x
    x = 31,999,999.68/6,411.36
  6. Step 6: Final answer
    x = 4,991.14

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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.