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Finding the Fourth Proportional to 8,542, 11,787.96 and 4,816.88

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Solution

The fourth proportional to 8,542, 11,787.96 and 4,816.88 is: 6,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542 : 11,787.96 = 4,816.88 : x
  2. Step 2: Convert to fraction form
    8,542/11,787.96 = 4,816.88/x
  3. Step 3: Cross multiply
    8,542x = 11,787.96 × 4,816.88
  4. Step 4: Simplify right side
    8,542x = 56,781,188.76
  5. Step 5: Solve for x
    x = 56,781,188.76/8,542
  6. Step 6: Final answer
    x = 6,647.29

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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.