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Finding the Fourth Proportional to 10,006.54, 13,813.47 and 5,974.80

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Solution

The fourth proportional to 10,006.54, 13,813.47 and 5,974.80 is: 8,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.54 : 13,813.47 = 5,974.80 : x
  2. Step 2: Convert to fraction form
    10,006.54/13,813.47 = 5,974.80/x
  3. Step 3: Cross multiply
    10,006.54x = 13,813.47 × 5,974.80
  4. Step 4: Simplify right side
    10,006.54x = 82,532,668.76
  5. Step 5: Solve for x
    x = 82,532,668.76/10,006.54
  6. Step 6: Final answer
    x = 8,247.87

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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.