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Finding the Fourth Proportional to 11,144.25, 15,379.07 and 6,429.24

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Solution

The fourth proportional to 11,144.25, 15,379.07 and 6,429.24 is: 8,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.25 : 15,379.07 = 6,429.24 : x
  2. Step 2: Convert to fraction form
    11,144.25/15,379.07 = 6,429.24/x
  3. Step 3: Cross multiply
    11,144.25x = 15,379.07 × 6,429.24
  4. Step 4: Simplify right side
    11,144.25x = 98,875,699.86
  5. Step 5: Solve for x
    x = 98,875,699.86/11,144.25
  6. Step 6: Final answer
    x = 8,872.35

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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.