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Finding the Fourth Proportional to 8,386.00, 11,573.28 and 5,736.96

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Solution

The fourth proportional to 8,386.00, 11,573.28 and 5,736.96 is: 7,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.00 : 11,573.28 = 5,736.96 : x
  2. Step 2: Convert to fraction form
    8,386.00/11,573.28 = 5,736.96/x
  3. Step 3: Cross multiply
    8,386.00x = 11,573.28 × 5,736.96
  4. Step 4: Simplify right side
    8,386.00x = 66,395,444.43
  5. Step 5: Solve for x
    x = 66,395,444.43/8,386.00
  6. Step 6: Final answer
    x = 7,917.42

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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.