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Finding the Fourth Proportional to 8,031.87, 11,993.14 and 7,086.94

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Solution

The fourth proportional to 8,031.87, 11,993.14 and 7,086.94 is: 10,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.87 : 11,993.14 = 7,086.94 : x
  2. Step 2: Convert to fraction form
    8,031.87/11,993.14 = 7,086.94/x
  3. Step 3: Cross multiply
    8,031.87x = 11,993.14 × 7,086.94
  4. Step 4: Simplify right side
    8,031.87x = 84,994,642.47
  5. Step 5: Solve for x
    x = 84,994,642.47/8,031.87
  6. Step 6: Final answer
    x = 10,582.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.