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Finding the Fourth Proportional to 10,094.63, 13,930.58 and 5,902.88

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Solution

The fourth proportional to 10,094.63, 13,930.58 and 5,902.88 is: 8,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.63 : 13,930.58 = 5,902.88 : x
  2. Step 2: Convert to fraction form
    10,094.63/13,930.58 = 5,902.88/x
  3. Step 3: Cross multiply
    10,094.63x = 13,930.58 × 5,902.88
  4. Step 4: Simplify right side
    10,094.63x = 82,230,487.17
  5. Step 5: Solve for x
    x = 82,230,487.17/10,094.63
  6. Step 6: Final answer
    x = 8,145.97

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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.