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Finding the Fourth Proportional to 8,133.98, 11,223.09 and 5,301.09

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Solution

The fourth proportional to 8,133.98, 11,223.09 and 5,301.09 is: 7,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.98 : 11,223.09 = 5,301.09 : x
  2. Step 2: Convert to fraction form
    8,133.98/11,223.09 = 5,301.09/x
  3. Step 3: Cross multiply
    8,133.98x = 11,223.09 × 5,301.09
  4. Step 4: Simplify right side
    8,133.98x = 59,494,610.17
  5. Step 5: Solve for x
    x = 59,494,610.17/8,133.98
  6. Step 6: Final answer
    x = 7,314.33

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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.