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Finding the Fourth Proportional to 8,174.37, 12,261.47 and 2,627.72

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Solution

The fourth proportional to 8,174.37, 12,261.47 and 2,627.72 is: 3,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.37 : 12,261.47 = 2,627.72 : x
  2. Step 2: Convert to fraction form
    8,174.37/12,261.47 = 2,627.72/x
  3. Step 3: Cross multiply
    8,174.37x = 12,261.47 × 2,627.72
  4. Step 4: Simplify right side
    8,174.37x = 32,219,727.46
  5. Step 5: Solve for x
    x = 32,219,727.46/8,174.37
  6. Step 6: Final answer
    x = 3,941.55

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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.