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Finding the Fourth Proportional to 7,872.14, 10,863.12 and 4,334.66

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Solution

The fourth proportional to 7,872.14, 10,863.12 and 4,334.66 is: 5,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.14 : 10,863.12 = 4,334.66 : x
  2. Step 2: Convert to fraction form
    7,872.14/10,863.12 = 4,334.66/x
  3. Step 3: Cross multiply
    7,872.14x = 10,863.12 × 4,334.66
  4. Step 4: Simplify right side
    7,872.14x = 47,087,877.42
  5. Step 5: Solve for x
    x = 47,087,877.42/7,872.14
  6. Step 6: Final answer
    x = 5,981.59

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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.