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Finding the Fourth Proportional to 11,838.34, 17,761.36 and 7,905.59

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Solution

The fourth proportional to 11,838.34, 17,761.36 and 7,905.59 is: 11,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.34 : 17,761.36 = 7,905.59 : x
  2. Step 2: Convert to fraction form
    11,838.34/17,761.36 = 7,905.59/x
  3. Step 3: Cross multiply
    11,838.34x = 17,761.36 × 7,905.59
  4. Step 4: Simplify right side
    11,838.34x = 140,414,030.00
  5. Step 5: Solve for x
    x = 140,414,030.00/11,838.34
  6. Step 6: Final answer
    x = 11,860.96

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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.