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Finding the Fourth Proportional to 8,466.14, 12,682.46 and 7,828.13

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Solution

The fourth proportional to 8,466.14, 12,682.46 and 7,828.13 is: 11,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.14 : 12,682.46 = 7,828.13 : x
  2. Step 2: Convert to fraction form
    8,466.14/12,682.46 = 7,828.13/x
  3. Step 3: Cross multiply
    8,466.14x = 12,682.46 × 7,828.13
  4. Step 4: Simplify right side
    8,466.14x = 99,279,843.05
  5. Step 5: Solve for x
    x = 99,279,843.05/8,466.14
  6. Step 6: Final answer
    x = 11,726.70

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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.