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Finding the Fourth Proportional to 8,064.36, 11,133.90 and 5,833.44

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Solution

The fourth proportional to 8,064.36, 11,133.90 and 5,833.44 is: 8,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.36 : 11,133.90 = 5,833.44 : x
  2. Step 2: Convert to fraction form
    8,064.36/11,133.90 = 5,833.44/x
  3. Step 3: Cross multiply
    8,064.36x = 11,133.90 × 5,833.44
  4. Step 4: Simplify right side
    8,064.36x = 64,948,937.62
  5. Step 5: Solve for x
    x = 64,948,937.62/8,064.36
  6. Step 6: Final answer
    x = 8,053.82

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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.