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Finding the Fourth Proportional to 8,360.96, 11,538 and 4,824.48

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Solution

The fourth proportional to 8,360.96, 11,538 and 4,824.48 is: 6,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,360.96 : 11,538 = 4,824.48 : x
  2. Step 2: Convert to fraction form
    8,360.96/11,538 = 4,824.48/x
  3. Step 3: Cross multiply
    8,360.96x = 11,538 × 4,824.48
  4. Step 4: Simplify right side
    8,360.96x = 55,664,850.24
  5. Step 5: Solve for x
    x = 55,664,850.24/8,360.96
  6. Step 6: Final answer
    x = 6,657.71

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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.