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Finding the Fourth Proportional to 11,414.40, 15,751.74 and 6,379.17

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Solution

The fourth proportional to 11,414.40, 15,751.74 and 6,379.17 is: 8,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.40 : 15,751.74 = 6,379.17 : x
  2. Step 2: Convert to fraction form
    11,414.40/15,751.74 = 6,379.17/x
  3. Step 3: Cross multiply
    11,414.40x = 15,751.74 × 6,379.17
  4. Step 4: Simplify right side
    11,414.40x = 100,483,027.26
  5. Step 5: Solve for x
    x = 100,483,027.26/11,414.40
  6. Step 6: Final answer
    x = 8,803.18

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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.