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Finding the Fourth Proportional to 8,143.71, 11,239.53 and 5,159.83

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Solution

The fourth proportional to 8,143.71, 11,239.53 and 5,159.83 is: 7,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.71 : 11,239.53 = 5,159.83 : x
  2. Step 2: Convert to fraction form
    8,143.71/11,239.53 = 5,159.83/x
  3. Step 3: Cross multiply
    8,143.71x = 11,239.53 × 5,159.83
  4. Step 4: Simplify right side
    8,143.71x = 57,994,049.63
  5. Step 5: Solve for x
    x = 57,994,049.63/8,143.71
  6. Step 6: Final answer
    x = 7,121.33

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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.