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Finding the Fourth Proportional to 8,930.52, 12,322.98 and 5,786.64

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Solution

The fourth proportional to 8,930.52, 12,322.98 and 5,786.64 is: 7,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930.52 : 12,322.98 = 5,786.64 : x
  2. Step 2: Convert to fraction form
    8,930.52/12,322.98 = 5,786.64/x
  3. Step 3: Cross multiply
    8,930.52x = 12,322.98 × 5,786.64
  4. Step 4: Simplify right side
    8,930.52x = 71,308,648.99
  5. Step 5: Solve for x
    x = 71,308,648.99/8,930.52
  6. Step 6: Final answer
    x = 7,984.83

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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.