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Finding the Fourth Proportional to 10,640.73, 14,685.50 and 6,105.06

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Solution

The fourth proportional to 10,640.73, 14,685.50 and 6,105.06 is: 8,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.73 : 14,685.50 = 6,105.06 : x
  2. Step 2: Convert to fraction form
    10,640.73/14,685.50 = 6,105.06/x
  3. Step 3: Cross multiply
    10,640.73x = 14,685.50 × 6,105.06
  4. Step 4: Simplify right side
    10,640.73x = 89,655,858.63
  5. Step 5: Solve for x
    x = 89,655,858.63/10,640.73
  6. Step 6: Final answer
    x = 8,425.72

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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.