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Finding the Fourth Proportional to 10,093.12, 13,928.72 and 5,903.80

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Solution

The fourth proportional to 10,093.12, 13,928.72 and 5,903.80 is: 8,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.12 : 13,928.72 = 5,903.80 : x
  2. Step 2: Convert to fraction form
    10,093.12/13,928.72 = 5,903.80/x
  3. Step 3: Cross multiply
    10,093.12x = 13,928.72 × 5,903.80
  4. Step 4: Simplify right side
    10,093.12x = 82,232,377.14
  5. Step 5: Solve for x
    x = 82,232,377.14/10,093.12
  6. Step 6: Final answer
    x = 8,147.37

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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.