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Finding the Fourth Proportional to 8,232.92, 11,349.54 and 5,870.96

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Solution

The fourth proportional to 8,232.92, 11,349.54 and 5,870.96 is: 8,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.92 : 11,349.54 = 5,870.96 : x
  2. Step 2: Convert to fraction form
    8,232.92/11,349.54 = 5,870.96/x
  3. Step 3: Cross multiply
    8,232.92x = 11,349.54 × 5,870.96
  4. Step 4: Simplify right side
    8,232.92x = 66,632,665.76
  5. Step 5: Solve for x
    x = 66,632,665.76/8,232.92
  6. Step 6: Final answer
    x = 8,093.45

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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.