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Finding the Fourth Proportional to 8,483.20, 12,662.83 and 7,857.88

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Solution

The fourth proportional to 8,483.20, 12,662.83 and 7,857.88 is: 11,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.20 : 12,662.83 = 7,857.88 : x
  2. Step 2: Convert to fraction form
    8,483.20/12,662.83 = 7,857.88/x
  3. Step 3: Cross multiply
    8,483.20x = 12,662.83 × 7,857.88
  4. Step 4: Simplify right side
    8,483.20x = 99,502,998.60
  5. Step 5: Solve for x
    x = 99,502,998.60/8,483.20
  6. Step 6: Final answer
    x = 11,729.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.