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Finding the Fourth Proportional to 11,905.90, 17,838.60 and 7,739.53

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Solution

The fourth proportional to 11,905.90, 17,838.60 and 7,739.53 is: 11,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.90 : 17,838.60 = 7,739.53 : x
  2. Step 2: Convert to fraction form
    11,905.90/17,838.60 = 7,739.53/x
  3. Step 3: Cross multiply
    11,905.90x = 17,838.60 × 7,739.53
  4. Step 4: Simplify right side
    11,905.90x = 138,062,379.86
  5. Step 5: Solve for x
    x = 138,062,379.86/11,905.90
  6. Step 6: Final answer
    x = 11,596.13

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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.