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Finding the Fourth Proportional to 10,455.44, 14,428.56 and 5,979.38

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Solution

The fourth proportional to 10,455.44, 14,428.56 and 5,979.38 is: 8,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.44 : 14,428.56 = 5,979.38 : x
  2. Step 2: Convert to fraction form
    10,455.44/14,428.56 = 5,979.38/x
  3. Step 3: Cross multiply
    10,455.44x = 14,428.56 × 5,979.38
  4. Step 4: Simplify right side
    10,455.44x = 86,273,825.06
  5. Step 5: Solve for x
    x = 86,273,825.06/10,455.44
  6. Step 6: Final answer
    x = 8,251.57

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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.