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Finding the Fourth Proportional to 8,186.47, 12,285.09 and 4,491.30

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Solution

The fourth proportional to 8,186.47, 12,285.09 and 4,491.30 is: 6,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.47 : 12,285.09 = 4,491.30 : x
  2. Step 2: Convert to fraction form
    8,186.47/12,285.09 = 4,491.30/x
  3. Step 3: Cross multiply
    8,186.47x = 12,285.09 × 4,491.30
  4. Step 4: Simplify right side
    8,186.47x = 55,176,024.72
  5. Step 5: Solve for x
    x = 55,176,024.72/8,186.47
  6. Step 6: Final answer
    x = 6,739.90

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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.