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Finding the Fourth Proportional to 8,186.83, 11,297.29 and 4,828.88

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Solution

The fourth proportional to 8,186.83, 11,297.29 and 4,828.88 is: 6,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.83 : 11,297.29 = 4,828.88 : x
  2. Step 2: Convert to fraction form
    8,186.83/11,297.29 = 4,828.88/x
  3. Step 3: Cross multiply
    8,186.83x = 11,297.29 × 4,828.88
  4. Step 4: Simplify right side
    8,186.83x = 54,553,257.74
  5. Step 5: Solve for x
    x = 54,553,257.74/8,186.83
  6. Step 6: Final answer
    x = 6,663.54

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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.