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Finding the Fourth Proportional to 10,864.14, 14,982.18 and 7,287.18

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Solution

The fourth proportional to 10,864.14, 14,982.18 and 7,287.18 is: 10,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.14 : 14,982.18 = 7,287.18 : x
  2. Step 2: Convert to fraction form
    10,864.14/14,982.18 = 7,287.18/x
  3. Step 3: Cross multiply
    10,864.14x = 14,982.18 × 7,287.18
  4. Step 4: Simplify right side
    10,864.14x = 109,177,842.45
  5. Step 5: Solve for x
    x = 109,177,842.45/10,864.14
  6. Step 6: Final answer
    x = 10,049.38

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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.