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Finding the Fourth Proportional to 10,090.38, 13,926.89 and 6,366.54

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Solution

The fourth proportional to 10,090.38, 13,926.89 and 6,366.54 is: 8,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.38 : 13,926.89 = 6,366.54 : x
  2. Step 2: Convert to fraction form
    10,090.38/13,926.89 = 6,366.54/x
  3. Step 3: Cross multiply
    10,090.38x = 13,926.89 × 6,366.54
  4. Step 4: Simplify right side
    10,090.38x = 88,666,102.26
  5. Step 5: Solve for x
    x = 88,666,102.26/10,090.38
  6. Step 6: Final answer
    x = 8,787.19

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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.