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Finding the Fourth Proportional to 8,322.90, 11,481.62 and 5,633.16

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Solution

The fourth proportional to 8,322.90, 11,481.62 and 5,633.16 is: 7,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.90 : 11,481.62 = 5,633.16 : x
  2. Step 2: Convert to fraction form
    8,322.90/11,481.62 = 5,633.16/x
  3. Step 3: Cross multiply
    8,322.90x = 11,481.62 × 5,633.16
  4. Step 4: Simplify right side
    8,322.90x = 64,677,802.52
  5. Step 5: Solve for x
    x = 64,677,802.52/8,322.90
  6. Step 6: Final answer
    x = 7,771.07

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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.