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Finding the Fourth Proportional to 8,334.72, 11,500.80 and 4,608.96

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Solution

The fourth proportional to 8,334.72, 11,500.80 and 4,608.96 is: 6,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.72 : 11,500.80 = 4,608.96 : x
  2. Step 2: Convert to fraction form
    8,334.72/11,500.80 = 4,608.96/x
  3. Step 3: Cross multiply
    8,334.72x = 11,500.80 × 4,608.96
  4. Step 4: Simplify right side
    8,334.72x = 53,006,727.17
  5. Step 5: Solve for x
    x = 53,006,727.17/8,334.72
  6. Step 6: Final answer
    x = 6,359.75

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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.