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Finding the Fourth Proportional to 8,533.25, 12,805.68 and 5,236.28

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Solution

The fourth proportional to 8,533.25, 12,805.68 and 5,236.28 is: 7,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.25 : 12,805.68 = 5,236.28 : x
  2. Step 2: Convert to fraction form
    8,533.25/12,805.68 = 5,236.28/x
  3. Step 3: Cross multiply
    8,533.25x = 12,805.68 × 5,236.28
  4. Step 4: Simplify right side
    8,533.25x = 67,054,177.72
  5. Step 5: Solve for x
    x = 67,054,177.72/8,533.25
  6. Step 6: Final answer
    x = 7,857.99

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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.