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Finding the Fourth Proportional to 8,678.83, 11,970.60 and 5,991.09

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Solution

The fourth proportional to 8,678.83, 11,970.60 and 5,991.09 is: 8,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.83 : 11,970.60 = 5,991.09 : x
  2. Step 2: Convert to fraction form
    8,678.83/11,970.60 = 5,991.09/x
  3. Step 3: Cross multiply
    8,678.83x = 11,970.60 × 5,991.09
  4. Step 4: Simplify right side
    8,678.83x = 71,716,941.95
  5. Step 5: Solve for x
    x = 71,716,941.95/8,678.83
  6. Step 6: Final answer
    x = 8,263.43

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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.