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Finding the Fourth Proportional to 7,836.68, 11,747.06 and 4,917.02

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Solution

The fourth proportional to 7,836.68, 11,747.06 and 4,917.02 is: 7,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.68 : 11,747.06 = 4,917.02 : x
  2. Step 2: Convert to fraction form
    7,836.68/11,747.06 = 4,917.02/x
  3. Step 3: Cross multiply
    7,836.68x = 11,747.06 × 4,917.02
  4. Step 4: Simplify right side
    7,836.68x = 57,760,528.96
  5. Step 5: Solve for x
    x = 57,760,528.96/7,836.68
  6. Step 6: Final answer
    x = 7,370.54

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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.