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Finding the Fourth Proportional to 8,137.83, 11,230.45 and 4,600.97

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Solution

The fourth proportional to 8,137.83, 11,230.45 and 4,600.97 is: 6,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.83 : 11,230.45 = 4,600.97 : x
  2. Step 2: Convert to fraction form
    8,137.83/11,230.45 = 4,600.97/x
  3. Step 3: Cross multiply
    8,137.83x = 11,230.45 × 4,600.97
  4. Step 4: Simplify right side
    8,137.83x = 51,670,938.00
  5. Step 5: Solve for x
    x = 51,670,938.00/8,137.83
  6. Step 6: Final answer
    x = 6,349.47

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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.