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Finding the Fourth Proportional to 10,093.14, 13,928.64 and 6,113.28

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Solution

The fourth proportional to 10,093.14, 13,928.64 and 6,113.28 is: 8,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.14 : 13,928.64 = 6,113.28 : x
  2. Step 2: Convert to fraction form
    10,093.14/13,928.64 = 6,113.28/x
  3. Step 3: Cross multiply
    10,093.14x = 13,928.64 × 6,113.28
  4. Step 4: Simplify right side
    10,093.14x = 85,149,676.34
  5. Step 5: Solve for x
    x = 85,149,676.34/10,093.14
  6. Step 6: Final answer
    x = 8,436.39

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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.