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Finding the Fourth Proportional to 7,872.84, 10,864.52 and 4,336.05

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Solution

The fourth proportional to 7,872.84, 10,864.52 and 4,336.05 is: 5,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.84 : 10,864.52 = 4,336.05 : x
  2. Step 2: Convert to fraction form
    7,872.84/10,864.52 = 4,336.05/x
  3. Step 3: Cross multiply
    7,872.84x = 10,864.52 × 4,336.05
  4. Step 4: Simplify right side
    7,872.84x = 47,109,137.27
  5. Step 5: Solve for x
    x = 47,109,137.27/7,872.84
  6. Step 6: Final answer
    x = 5,983.75

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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.