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Finding the Fourth Proportional to 10,693.62, 16,038.81 and 3,766.50

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Solution

The fourth proportional to 10,693.62, 16,038.81 and 3,766.50 is: 5,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.62 : 16,038.81 = 3,766.50 : x
  2. Step 2: Convert to fraction form
    10,693.62/16,038.81 = 3,766.50/x
  3. Step 3: Cross multiply
    10,693.62x = 16,038.81 × 3,766.50
  4. Step 4: Simplify right side
    10,693.62x = 60,410,177.87
  5. Step 5: Solve for x
    x = 60,410,177.87/10,693.62
  6. Step 6: Final answer
    x = 5,649.18

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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.