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Finding the Fourth Proportional to 10,709.70, 16,061.46 and 3,689.43

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Solution

The fourth proportional to 10,709.70, 16,061.46 and 3,689.43 is: 5,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.70 : 16,061.46 = 3,689.43 : x
  2. Step 2: Convert to fraction form
    10,709.70/16,061.46 = 3,689.43/x
  3. Step 3: Cross multiply
    10,709.70x = 16,061.46 × 3,689.43
  4. Step 4: Simplify right side
    10,709.70x = 59,257,632.37
  5. Step 5: Solve for x
    x = 59,257,632.37/10,709.70
  6. Step 6: Final answer
    x = 5,533.08

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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.