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Finding the Fourth Proportional to 10,149.92, 14,006.85 and 5,673.67

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Solution

The fourth proportional to 10,149.92, 14,006.85 and 5,673.67 is: 7,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.92 : 14,006.85 = 5,673.67 : x
  2. Step 2: Convert to fraction form
    10,149.92/14,006.85 = 5,673.67/x
  3. Step 3: Cross multiply
    10,149.92x = 14,006.85 × 5,673.67
  4. Step 4: Simplify right side
    10,149.92x = 79,470,216.27
  5. Step 5: Solve for x
    x = 79,470,216.27/10,149.92
  6. Step 6: Final answer
    x = 7,829.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.