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Finding the Fourth Proportional to 7,872.61, 10,864.26 and 4,336.05

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Solution

The fourth proportional to 7,872.61, 10,864.26 and 4,336.05 is: 5,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.61 : 10,864.26 = 4,336.05 : x
  2. Step 2: Convert to fraction form
    7,872.61/10,864.26 = 4,336.05/x
  3. Step 3: Cross multiply
    7,872.61x = 10,864.26 × 4,336.05
  4. Step 4: Simplify right side
    7,872.61x = 47,107,954.20
  5. Step 5: Solve for x
    x = 47,107,954.20/7,872.61
  6. Step 6: Final answer
    x = 5,983.78

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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.