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Finding the Fourth Proportional to 10,394.38, 14,344.46 and 5,678.97

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Solution

The fourth proportional to 10,394.38, 14,344.46 and 5,678.97 is: 7,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.38 : 14,344.46 = 5,678.97 : x
  2. Step 2: Convert to fraction form
    10,394.38/14,344.46 = 5,678.97/x
  3. Step 3: Cross multiply
    10,394.38x = 14,344.46 × 5,678.97
  4. Step 4: Simplify right side
    10,394.38x = 81,461,758.01
  5. Step 5: Solve for x
    x = 81,461,758.01/10,394.38
  6. Step 6: Final answer
    x = 7,837.10

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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.