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Finding the Fourth Proportional to 8,137.83, 11,231.19 and 4,601.01

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Solution

The fourth proportional to 8,137.83, 11,231.19 and 4,601.01 is: 6,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.83 : 11,231.19 = 4,601.01 : x
  2. Step 2: Convert to fraction form
    8,137.83/11,231.19 = 4,601.01/x
  3. Step 3: Cross multiply
    8,137.83x = 11,231.19 × 4,601.01
  4. Step 4: Simplify right side
    8,137.83x = 51,674,817.50
  5. Step 5: Solve for x
    x = 51,674,817.50/8,137.83
  6. Step 6: Final answer
    x = 6,349.95

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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.