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Finding the Fourth Proportional to 10,103.34, 13,941.99 and 5,626.86

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Solution

The fourth proportional to 10,103.34, 13,941.99 and 5,626.86 is: 7,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.34 : 13,941.99 = 5,626.86 : x
  2. Step 2: Convert to fraction form
    10,103.34/13,941.99 = 5,626.86/x
  3. Step 3: Cross multiply
    10,103.34x = 13,941.99 × 5,626.86
  4. Step 4: Simplify right side
    10,103.34x = 78,449,625.85
  5. Step 5: Solve for x
    x = 78,449,625.85/10,103.34
  6. Step 6: Final answer
    x = 7,764.72

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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.