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Finding the Fourth Proportional to 10,709.46, 16,062.12 and 3,689.16

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Solution

The fourth proportional to 10,709.46, 16,062.12 and 3,689.16 is: 5,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.46 : 16,062.12 = 3,689.16 : x
  2. Step 2: Convert to fraction form
    10,709.46/16,062.12 = 3,689.16/x
  3. Step 3: Cross multiply
    10,709.46x = 16,062.12 × 3,689.16
  4. Step 4: Simplify right side
    10,709.46x = 59,255,730.62
  5. Step 5: Solve for x
    x = 59,255,730.62/10,709.46
  6. Step 6: Final answer
    x = 5,533.03

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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.