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Finding the Fourth Proportional to 10,703.34, 16,057.46 and 5,772.87

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Solution

The fourth proportional to 10,703.34, 16,057.46 and 5,772.87 is: 8,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.34 : 16,057.46 = 5,772.87 : x
  2. Step 2: Convert to fraction form
    10,703.34/16,057.46 = 5,772.87/x
  3. Step 3: Cross multiply
    10,703.34x = 16,057.46 × 5,772.87
  4. Step 4: Simplify right side
    10,703.34x = 92,697,629.11
  5. Step 5: Solve for x
    x = 92,697,629.11/10,703.34
  6. Step 6: Final answer
    x = 8,660.63

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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.