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Finding the Fourth Proportional to 8,469.32, 11,758.07 and 8,215.88

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Solution

The fourth proportional to 8,469.32, 11,758.07 and 8,215.88 is: 11,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.32 : 11,758.07 = 8,215.88 : x
  2. Step 2: Convert to fraction form
    8,469.32/11,758.07 = 8,215.88/x
  3. Step 3: Cross multiply
    8,469.32x = 11,758.07 × 8,215.88
  4. Step 4: Simplify right side
    8,469.32x = 96,602,892.15
  5. Step 5: Solve for x
    x = 96,602,892.15/8,469.32
  6. Step 6: Final answer
    x = 11,406.22

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.