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Finding the Fourth Proportional to 8,147.61, 12,224.15 and 2,601.74

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Solution

The fourth proportional to 8,147.61, 12,224.15 and 2,601.74 is: 3,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.61 : 12,224.15 = 2,601.74 : x
  2. Step 2: Convert to fraction form
    8,147.61/12,224.15 = 2,601.74/x
  3. Step 3: Cross multiply
    8,147.61x = 12,224.15 × 2,601.74
  4. Step 4: Simplify right side
    8,147.61x = 31,804,060.02
  5. Step 5: Solve for x
    x = 31,804,060.02/8,147.61
  6. Step 6: Final answer
    x = 3,903.48

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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.