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Finding the Fourth Proportional to 10,203.88, 15,286.34 and 6,911.32

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Solution

The fourth proportional to 10,203.88, 15,286.34 and 6,911.32 is: 10,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.88 : 15,286.34 = 6,911.32 : x
  2. Step 2: Convert to fraction form
    10,203.88/15,286.34 = 6,911.32/x
  3. Step 3: Cross multiply
    10,203.88x = 15,286.34 × 6,911.32
  4. Step 4: Simplify right side
    10,203.88x = 105,648,787.37
  5. Step 5: Solve for x
    x = 105,648,787.37/10,203.88
  6. Step 6: Final answer
    x = 10,353.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.