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Finding the Fourth Proportional to 8,126.72, 12,199.04 and 5,828.48

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Solution

The fourth proportional to 8,126.72, 12,199.04 and 5,828.48 is: 8,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.72 : 12,199.04 = 5,828.48 : x
  2. Step 2: Convert to fraction form
    8,126.72/12,199.04 = 5,828.48/x
  3. Step 3: Cross multiply
    8,126.72x = 12,199.04 × 5,828.48
  4. Step 4: Simplify right side
    8,126.72x = 71,101,860.66
  5. Step 5: Solve for x
    x = 71,101,860.66/8,126.72
  6. Step 6: Final answer
    x = 8,749.15

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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.