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Finding the Fourth Proportional to 10,906.85, 15,056.07 and 7,374.85

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Solution

The fourth proportional to 10,906.85, 15,056.07 and 7,374.85 is: 10,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.85 : 15,056.07 = 7,374.85 : x
  2. Step 2: Convert to fraction form
    10,906.85/15,056.07 = 7,374.85/x
  3. Step 3: Cross multiply
    10,906.85x = 15,056.07 × 7,374.85
  4. Step 4: Simplify right side
    10,906.85x = 111,036,257.84
  5. Step 5: Solve for x
    x = 111,036,257.84/10,906.85
  6. Step 6: Final answer
    x = 10,180.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.