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Finding the Fourth Proportional to 10,793.14, 14,891.62 and 6,318

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Solution

The fourth proportional to 10,793.14, 14,891.62 and 6,318 is: 8,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.14 : 14,891.62 = 6,318 : x
  2. Step 2: Convert to fraction form
    10,793.14/14,891.62 = 6,318/x
  3. Step 3: Cross multiply
    10,793.14x = 14,891.62 × 6,318
  4. Step 4: Simplify right side
    10,793.14x = 94,085,255.16
  5. Step 5: Solve for x
    x = 94,085,255.16/10,793.14
  6. Step 6: Final answer
    x = 8,717.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.