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Finding the Fourth Proportional to 7,872.50, 10,863.65 and 4,335.63

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Solution

The fourth proportional to 7,872.50, 10,863.65 and 4,335.63 is: 5,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.50 : 10,863.65 = 4,335.63 : x
  2. Step 2: Convert to fraction form
    7,872.50/10,863.65 = 4,335.63/x
  3. Step 3: Cross multiply
    7,872.50x = 10,863.65 × 4,335.63
  4. Step 4: Simplify right side
    7,872.50x = 47,100,745.17
  5. Step 5: Solve for x
    x = 47,100,745.17/7,872.50
  6. Step 6: Final answer
    x = 5,982.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.