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Finding the Fourth Proportional to 11,238.15, 16,842.65 and 7,534.83

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Solution

The fourth proportional to 11,238.15, 16,842.65 and 7,534.83 is: 11,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.15 : 16,842.65 = 7,534.83 : x
  2. Step 2: Convert to fraction form
    11,238.15/16,842.65 = 7,534.83/x
  3. Step 3: Cross multiply
    11,238.15x = 16,842.65 × 7,534.83
  4. Step 4: Simplify right side
    11,238.15x = 126,906,466.83
  5. Step 5: Solve for x
    x = 126,906,466.83/11,238.15
  6. Step 6: Final answer
    x = 11,292.47

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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.