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Finding the Fourth Proportional to 8,827.50, 13,241.28 and 2,671.50

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Solution

The fourth proportional to 8,827.50, 13,241.28 and 2,671.50 is: 4,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.50 : 13,241.28 = 2,671.50 : x
  2. Step 2: Convert to fraction form
    8,827.50/13,241.28 = 2,671.50/x
  3. Step 3: Cross multiply
    8,827.50x = 13,241.28 × 2,671.50
  4. Step 4: Simplify right side
    8,827.50x = 35,374,079.52
  5. Step 5: Solve for x
    x = 35,374,079.52/8,827.50
  6. Step 6: Final answer
    x = 4,007.26

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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.