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Finding the Fourth Proportional to 8,157.42, 12,237.93 and 2,963.25

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Solution

The fourth proportional to 8,157.42, 12,237.93 and 2,963.25 is: 4,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.42 : 12,237.93 = 2,963.25 : x
  2. Step 2: Convert to fraction form
    8,157.42/12,237.93 = 2,963.25/x
  3. Step 3: Cross multiply
    8,157.42x = 12,237.93 × 2,963.25
  4. Step 4: Simplify right side
    8,157.42x = 36,264,046.07
  5. Step 5: Solve for x
    x = 36,264,046.07/8,157.42
  6. Step 6: Final answer
    x = 4,445.53

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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.