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Finding the Fourth Proportional to 8,584.33, 11,848.22 and 5,228.23

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Solution

The fourth proportional to 8,584.33, 11,848.22 and 5,228.23 is: 7,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.33 : 11,848.22 = 5,228.23 : x
  2. Step 2: Convert to fraction form
    8,584.33/11,848.22 = 5,228.23/x
  3. Step 3: Cross multiply
    8,584.33x = 11,848.22 × 5,228.23
  4. Step 4: Simplify right side
    8,584.33x = 61,945,219.25
  5. Step 5: Solve for x
    x = 61,945,219.25/8,584.33
  6. Step 6: Final answer
    x = 7,216.08

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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.