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Finding the Fourth Proportional to 8,165.44, 12,237.83 and 4,004.47

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Solution

The fourth proportional to 8,165.44, 12,237.83 and 4,004.47 is: 6,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.44 : 12,237.83 = 4,004.47 : x
  2. Step 2: Convert to fraction form
    8,165.44/12,237.83 = 4,004.47/x
  3. Step 3: Cross multiply
    8,165.44x = 12,237.83 × 4,004.47
  4. Step 4: Simplify right side
    8,165.44x = 49,005,941.89
  5. Step 5: Solve for x
    x = 49,005,941.89/8,165.44
  6. Step 6: Final answer
    x = 6,001.63

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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.