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Finding the Fourth Proportional to 10,027.69, 13,841.69 and 6,202.25

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Solution

The fourth proportional to 10,027.69, 13,841.69 and 6,202.25 is: 8,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.69 : 13,841.69 = 6,202.25 : x
  2. Step 2: Convert to fraction form
    10,027.69/13,841.69 = 6,202.25/x
  3. Step 3: Cross multiply
    10,027.69x = 13,841.69 × 6,202.25
  4. Step 4: Simplify right side
    10,027.69x = 85,849,590.79
  5. Step 5: Solve for x
    x = 85,849,590.79/10,027.69
  6. Step 6: Final answer
    x = 8,561.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.