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Finding the Fourth Proportional to 11,144.10, 15,369.04 and 6,894.48

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Solution

The fourth proportional to 11,144.10, 15,369.04 and 6,894.48 is: 9,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.10 : 15,369.04 = 6,894.48 : x
  2. Step 2: Convert to fraction form
    11,144.10/15,369.04 = 6,894.48/x
  3. Step 3: Cross multiply
    11,144.10x = 15,369.04 × 6,894.48
  4. Step 4: Simplify right side
    11,144.10x = 105,961,605.15
  5. Step 5: Solve for x
    x = 105,961,605.15/11,144.10
  6. Step 6: Final answer
    x = 9,508.32

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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.