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Finding the Fourth Proportional to 11,902.32, 17,848.30 and 6,354.42

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Solution

The fourth proportional to 11,902.32, 17,848.30 and 6,354.42 is: 9,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.32 : 17,848.30 = 6,354.42 : x
  2. Step 2: Convert to fraction form
    11,902.32/17,848.30 = 6,354.42/x
  3. Step 3: Cross multiply
    11,902.32x = 17,848.30 × 6,354.42
  4. Step 4: Simplify right side
    11,902.32x = 113,415,594.49
  5. Step 5: Solve for x
    x = 113,415,594.49/11,902.32
  6. Step 6: Final answer
    x = 9,528.86

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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.