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Finding the Fourth Proportional to 8,427.89, 12,641.83 and 2,583.74

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Solution

The fourth proportional to 8,427.89, 12,641.83 and 2,583.74 is: 3,875.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.89 : 12,641.83 = 2,583.74 : x
  2. Step 2: Convert to fraction form
    8,427.89/12,641.83 = 2,583.74/x
  3. Step 3: Cross multiply
    8,427.89x = 12,641.83 × 2,583.74
  4. Step 4: Simplify right side
    8,427.89x = 32,663,201.84
  5. Step 5: Solve for x
    x = 32,663,201.84/8,427.89
  6. Step 6: Final answer
    x = 3,875.61

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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.