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Finding the Fourth Proportional to 8,438.06, 12,657.71 and 3,243.94

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Solution

The fourth proportional to 8,438.06, 12,657.71 and 3,243.94 is: 4,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.06 : 12,657.71 = 3,243.94 : x
  2. Step 2: Convert to fraction form
    8,438.06/12,657.71 = 3,243.94/x
  3. Step 3: Cross multiply
    8,438.06x = 12,657.71 × 3,243.94
  4. Step 4: Simplify right side
    8,438.06x = 41,060,828.24
  5. Step 5: Solve for x
    x = 41,060,828.24/8,438.06
  6. Step 6: Final answer
    x = 4,866.14

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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.