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Finding the Fourth Proportional to 8,186.90, 12,281.59 and 4,182.09

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Solution

The fourth proportional to 8,186.90, 12,281.59 and 4,182.09 is: 6,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.90 : 12,281.59 = 4,182.09 : x
  2. Step 2: Convert to fraction form
    8,186.90/12,281.59 = 4,182.09/x
  3. Step 3: Cross multiply
    8,186.90x = 12,281.59 × 4,182.09
  4. Step 4: Simplify right side
    8,186.90x = 51,362,714.72
  5. Step 5: Solve for x
    x = 51,362,714.72/8,186.90
  6. Step 6: Final answer
    x = 6,273.77

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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.