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Finding the Fourth Proportional to 8,349.28, 11,533.25 and 6,682.60

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Solution

The fourth proportional to 8,349.28, 11,533.25 and 6,682.60 is: 9,230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.28 : 11,533.25 = 6,682.60 : x
  2. Step 2: Convert to fraction form
    8,349.28/11,533.25 = 6,682.60/x
  3. Step 3: Cross multiply
    8,349.28x = 11,533.25 × 6,682.60
  4. Step 4: Simplify right side
    8,349.28x = 77,072,127.57
  5. Step 5: Solve for x
    x = 77,072,127.57/8,349.28
  6. Step 6: Final answer
    x = 9,230.99

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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.