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Finding the Fourth Proportional to 8,660.90, 12,962.19 and 5,200.58

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Solution

The fourth proportional to 8,660.90, 12,962.19 and 5,200.58 is: 7,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660.90 : 12,962.19 = 5,200.58 : x
  2. Step 2: Convert to fraction form
    8,660.90/12,962.19 = 5,200.58/x
  3. Step 3: Cross multiply
    8,660.90x = 12,962.19 × 5,200.58
  4. Step 4: Simplify right side
    8,660.90x = 67,410,906.07
  5. Step 5: Solve for x
    x = 67,410,906.07/8,660.90
  6. Step 6: Final answer
    x = 7,783.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.