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Finding the Fourth Proportional to 8,202.60, 12,287.70 and 4,905.90

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Solution

The fourth proportional to 8,202.60, 12,287.70 and 4,905.90 is: 7,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.60 : 12,287.70 = 4,905.90 : x
  2. Step 2: Convert to fraction form
    8,202.60/12,287.70 = 4,905.90/x
  3. Step 3: Cross multiply
    8,202.60x = 12,287.70 × 4,905.90
  4. Step 4: Simplify right side
    8,202.60x = 60,282,227.43
  5. Step 5: Solve for x
    x = 60,282,227.43/8,202.60
  6. Step 6: Final answer
    x = 7,349.16

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Why These Related Problems?

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