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Finding the Fourth Proportional to 8,522.31, 11,758.16 and 5,119.00

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Solution

The fourth proportional to 8,522.31, 11,758.16 and 5,119.00 is: 7,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.31 : 11,758.16 = 5,119.00 : x
  2. Step 2: Convert to fraction form
    8,522.31/11,758.16 = 5,119.00/x
  3. Step 3: Cross multiply
    8,522.31x = 11,758.16 × 5,119.00
  4. Step 4: Simplify right side
    8,522.31x = 60,190,004.44
  5. Step 5: Solve for x
    x = 60,190,004.44/8,522.31
  6. Step 6: Final answer
    x = 7,062.64

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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.