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Finding the Fourth Proportional to 8,356.51, 11,533.89 and 5,212.09

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Solution

The fourth proportional to 8,356.51, 11,533.89 and 5,212.09 is: 7,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.51 : 11,533.89 = 5,212.09 : x
  2. Step 2: Convert to fraction form
    8,356.51/11,533.89 = 5,212.09/x
  3. Step 3: Cross multiply
    8,356.51x = 11,533.89 × 5,212.09
  4. Step 4: Simplify right side
    8,356.51x = 60,115,672.73
  5. Step 5: Solve for x
    x = 60,115,672.73/8,356.51
  6. Step 6: Final answer
    x = 7,193.87

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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.