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Finding the Fourth Proportional to 11,795.60, 16,277.90 and 6,759.84

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Solution

The fourth proportional to 11,795.60, 16,277.90 and 6,759.84 is: 9,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.60 : 16,277.90 = 6,759.84 : x
  2. Step 2: Convert to fraction form
    11,795.60/16,277.90 = 6,759.84/x
  3. Step 3: Cross multiply
    11,795.60x = 16,277.90 × 6,759.84
  4. Step 4: Simplify right side
    11,795.60x = 110,035,999.54
  5. Step 5: Solve for x
    x = 110,035,999.54/11,795.60
  6. Step 6: Final answer
    x = 9,328.56

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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.