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Finding the Fourth Proportional to 7,917.36, 11,866.32 and 5,733.60

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Solution

The fourth proportional to 7,917.36, 11,866.32 and 5,733.60 is: 8,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.36 : 11,866.32 = 5,733.60 : x
  2. Step 2: Convert to fraction form
    7,917.36/11,866.32 = 5,733.60/x
  3. Step 3: Cross multiply
    7,917.36x = 11,866.32 × 5,733.60
  4. Step 4: Simplify right side
    7,917.36x = 68,036,732.35
  5. Step 5: Solve for x
    x = 68,036,732.35/7,917.36
  6. Step 6: Final answer
    x = 8,593.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.