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Finding the Fourth Proportional to 6,686.86, 10,031.68 and 2,006.68

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Solution

The fourth proportional to 6,686.86, 10,031.68 and 2,006.68 is: 3,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.86 : 10,031.68 = 2,006.68 : x
  2. Step 2: Convert to fraction form
    6,686.86/10,031.68 = 2,006.68/x
  3. Step 3: Cross multiply
    6,686.86x = 10,031.68 × 2,006.68
  4. Step 4: Simplify right side
    6,686.86x = 20,130,371.62
  5. Step 5: Solve for x
    x = 20,130,371.62/6,686.86
  6. Step 6: Final answer
    x = 3,010.44

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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.