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Finding the Fourth Proportional to 7,872.66, 10,864.13 and 4,335.80

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Solution

The fourth proportional to 7,872.66, 10,864.13 and 4,335.80 is: 5,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.66 : 10,864.13 = 4,335.80 : x
  2. Step 2: Convert to fraction form
    7,872.66/10,864.13 = 4,335.80/x
  3. Step 3: Cross multiply
    7,872.66x = 10,864.13 × 4,335.80
  4. Step 4: Simplify right side
    7,872.66x = 47,104,618.85
  5. Step 5: Solve for x
    x = 47,104,618.85/7,872.66
  6. Step 6: Final answer
    x = 5,983.32

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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.