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Finding the Fourth Proportional to 10,711.57, 16,063.36 and 3,689.62

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Solution

The fourth proportional to 10,711.57, 16,063.36 and 3,689.62 is: 5,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.57 : 16,063.36 = 3,689.62 : x
  2. Step 2: Convert to fraction form
    10,711.57/16,063.36 = 3,689.62/x
  3. Step 3: Cross multiply
    10,711.57x = 16,063.36 × 3,689.62
  4. Step 4: Simplify right side
    10,711.57x = 59,267,694.32
  5. Step 5: Solve for x
    x = 59,267,694.32/10,711.57
  6. Step 6: Final answer
    x = 5,533.05

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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.