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Finding the Fourth Proportional to 11,188.90, 15,441.86 and 6,409.22

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Solution

The fourth proportional to 11,188.90, 15,441.86 and 6,409.22 is: 8,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.90 : 15,441.86 = 6,409.22 : x
  2. Step 2: Convert to fraction form
    11,188.90/15,441.86 = 6,409.22/x
  3. Step 3: Cross multiply
    11,188.90x = 15,441.86 × 6,409.22
  4. Step 4: Simplify right side
    11,188.90x = 98,970,245.90
  5. Step 5: Solve for x
    x = 98,970,245.90/11,188.90
  6. Step 6: Final answer
    x = 8,845.40

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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.