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Finding the Fourth Proportional to 8,541.76, 11,787.84 and 4,816

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Solution

The fourth proportional to 8,541.76, 11,787.84 and 4,816 is: 6,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.76 : 11,787.84 = 4,816 : x
  2. Step 2: Convert to fraction form
    8,541.76/11,787.84 = 4,816/x
  3. Step 3: Cross multiply
    8,541.76x = 11,787.84 × 4,816
  4. Step 4: Simplify right side
    8,541.76x = 56,770,237.44
  5. Step 5: Solve for x
    x = 56,770,237.44/8,541.76
  6. Step 6: Final answer
    x = 6,646.20

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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.