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Finding the Fourth Proportional to 7,872.75, 10,864.40 and 4,335.95

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Solution

The fourth proportional to 7,872.75, 10,864.40 and 4,335.95 is: 5,983.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.75 : 10,864.40 = 4,335.95 : x
  2. Step 2: Convert to fraction form
    7,872.75/10,864.40 = 4,335.95/x
  3. Step 3: Cross multiply
    7,872.75x = 10,864.40 × 4,335.95
  4. Step 4: Simplify right side
    7,872.75x = 47,107,500.66
  5. Step 5: Solve for x
    x = 47,107,500.66/7,872.75
  6. Step 6: Final answer
    x = 5,983.61

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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.