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Finding the Fourth Proportional to 10,093.85, 13,928.93 and 5,617.38

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Solution

The fourth proportional to 10,093.85, 13,928.93 and 5,617.38 is: 7,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.85 : 13,928.93 = 5,617.38 : x
  2. Step 2: Convert to fraction form
    10,093.85/13,928.93 = 5,617.38/x
  3. Step 3: Cross multiply
    10,093.85x = 13,928.93 × 5,617.38
  4. Step 4: Simplify right side
    10,093.85x = 78,244,064.72
  5. Step 5: Solve for x
    x = 78,244,064.72/10,093.85
  6. Step 6: Final answer
    x = 7,751.66

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Why These Related Problems?

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