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Finding the Fourth Proportional to 8,103.75, 12,159.29 and 4,641

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Solution

The fourth proportional to 8,103.75, 12,159.29 and 4,641 is: 6,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.75 : 12,159.29 = 4,641 : x
  2. Step 2: Convert to fraction form
    8,103.75/12,159.29 = 4,641/x
  3. Step 3: Cross multiply
    8,103.75x = 12,159.29 × 4,641
  4. Step 4: Simplify right side
    8,103.75x = 56,431,241.69
  5. Step 5: Solve for x
    x = 56,431,241.69/8,103.75
  6. Step 6: Final answer
    x = 6,963.60

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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.