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Finding the Fourth Proportional to 10,758.40, 16,143.71 and 4,183.70

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Solution

The fourth proportional to 10,758.40, 16,143.71 and 4,183.70 is: 6,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.40 : 16,143.71 = 4,183.70 : x
  2. Step 2: Convert to fraction form
    10,758.40/16,143.71 = 4,183.70/x
  3. Step 3: Cross multiply
    10,758.40x = 16,143.71 × 4,183.70
  4. Step 4: Simplify right side
    10,758.40x = 67,540,337.89
  5. Step 5: Solve for x
    x = 67,540,337.89/10,758.40
  6. Step 6: Final answer
    x = 6,277.92

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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.