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Finding the Fourth Proportional to 8,036.24, 12,053.66 and 2,771.24

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Solution

The fourth proportional to 8,036.24, 12,053.66 and 2,771.24 is: 4,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.24 : 12,053.66 = 2,771.24 : x
  2. Step 2: Convert to fraction form
    8,036.24/12,053.66 = 2,771.24/x
  3. Step 3: Cross multiply
    8,036.24x = 12,053.66 × 2,771.24
  4. Step 4: Simplify right side
    8,036.24x = 33,403,584.74
  5. Step 5: Solve for x
    x = 33,403,584.74/8,036.24
  6. Step 6: Final answer
    x = 4,156.62

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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.