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Finding the Fourth Proportional to 11,185.40, 15,435.89 and 6,405.41

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Solution

The fourth proportional to 11,185.40, 15,435.89 and 6,405.41 is: 8,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.40 : 15,435.89 = 6,405.41 : x
  2. Step 2: Convert to fraction form
    11,185.40/15,435.89 = 6,405.41/x
  3. Step 3: Cross multiply
    11,185.40x = 15,435.89 × 6,405.41
  4. Step 4: Simplify right side
    11,185.40x = 98,873,234.75
  5. Step 5: Solve for x
    x = 98,873,234.75/11,185.40
  6. Step 6: Final answer
    x = 8,839.49

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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.