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Finding the Fourth Proportional to 10,294.98, 14,207.04 and 5,579.28

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Solution

The fourth proportional to 10,294.98, 14,207.04 and 5,579.28 is: 7,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.98 : 14,207.04 = 5,579.28 : x
  2. Step 2: Convert to fraction form
    10,294.98/14,207.04 = 5,579.28/x
  3. Step 3: Cross multiply
    10,294.98x = 14,207.04 × 5,579.28
  4. Step 4: Simplify right side
    10,294.98x = 79,265,054.13
  5. Step 5: Solve for x
    x = 79,265,054.13/10,294.98
  6. Step 6: Final answer
    x = 7,699.39

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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.