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Finding the Fourth Proportional to 8,146.86, 11,238.86 and 4,789.62

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Solution

The fourth proportional to 8,146.86, 11,238.86 and 4,789.62 is: 6,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.86 : 11,238.86 = 4,789.62 : x
  2. Step 2: Convert to fraction form
    8,146.86/11,238.86 = 4,789.62/x
  3. Step 3: Cross multiply
    8,146.86x = 11,238.86 × 4,789.62
  4. Step 4: Simplify right side
    8,146.86x = 53,829,844.69
  5. Step 5: Solve for x
    x = 53,829,844.69/8,146.86
  6. Step 6: Final answer
    x = 6,607.43

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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.