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Finding the Fourth Proportional to 7,899.36, 11,840.62 and 5,945.52

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Solution

The fourth proportional to 7,899.36, 11,840.62 and 5,945.52 is: 8,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.36 : 11,840.62 = 5,945.52 : x
  2. Step 2: Convert to fraction form
    7,899.36/11,840.62 = 5,945.52/x
  3. Step 3: Cross multiply
    7,899.36x = 11,840.62 × 5,945.52
  4. Step 4: Simplify right side
    7,899.36x = 70,398,643.02
  5. Step 5: Solve for x
    x = 70,398,643.02/7,899.36
  6. Step 6: Final answer
    x = 8,911.94

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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.