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Finding the Fourth Proportional to 8,129.95, 11,212.30 and 5,296.25

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Solution

The fourth proportional to 8,129.95, 11,212.30 and 5,296.25 is: 7,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.95 : 11,212.30 = 5,296.25 : x
  2. Step 2: Convert to fraction form
    8,129.95/11,212.30 = 5,296.25/x
  3. Step 3: Cross multiply
    8,129.95x = 11,212.30 × 5,296.25
  4. Step 4: Simplify right side
    8,129.95x = 59,383,143.88
  5. Step 5: Solve for x
    x = 59,383,143.88/8,129.95
  6. Step 6: Final answer
    x = 7,304.24

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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.