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Finding the Fourth Proportional to 8,221.54, 11,345.06 and 5,033.51

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Solution

The fourth proportional to 8,221.54, 11,345.06 and 5,033.51 is: 6,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.54 : 11,345.06 = 5,033.51 : x
  2. Step 2: Convert to fraction form
    8,221.54/11,345.06 = 5,033.51/x
  3. Step 3: Cross multiply
    8,221.54x = 11,345.06 × 5,033.51
  4. Step 4: Simplify right side
    8,221.54x = 57,105,416.24
  5. Step 5: Solve for x
    x = 57,105,416.24/8,221.54
  6. Step 6: Final answer
    x = 6,945.83

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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.