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Finding the Fourth Proportional to 10,723.43, 16,102.97 and 7,235.87

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Solution

The fourth proportional to 10,723.43, 16,102.97 and 7,235.87 is: 10,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.43 : 16,102.97 = 7,235.87 : x
  2. Step 2: Convert to fraction form
    10,723.43/16,102.97 = 7,235.87/x
  3. Step 3: Cross multiply
    10,723.43x = 16,102.97 × 7,235.87
  4. Step 4: Simplify right side
    10,723.43x = 116,518,880.84
  5. Step 5: Solve for x
    x = 116,518,880.84/10,723.43
  6. Step 6: Final answer
    x = 10,865.83

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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.