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Finding the Fourth Proportional to 10,294.97, 14,207.07 and 5,579.26

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Solution

The fourth proportional to 10,294.97, 14,207.07 and 5,579.26 is: 7,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.97 : 14,207.07 = 5,579.26 : x
  2. Step 2: Convert to fraction form
    10,294.97/14,207.07 = 5,579.26/x
  3. Step 3: Cross multiply
    10,294.97x = 14,207.07 × 5,579.26
  4. Step 4: Simplify right side
    10,294.97x = 79,264,937.37
  5. Step 5: Solve for x
    x = 79,264,937.37/10,294.97
  6. Step 6: Final answer
    x = 7,699.38

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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.