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Finding the Fourth Proportional to 7,405.74, 11,111.68 and 3,243.60

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Solution

The fourth proportional to 7,405.74, 11,111.68 and 3,243.60 is: 4,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.74 : 11,111.68 = 3,243.60 : x
  2. Step 2: Convert to fraction form
    7,405.74/11,111.68 = 3,243.60/x
  3. Step 3: Cross multiply
    7,405.74x = 11,111.68 × 3,243.60
  4. Step 4: Simplify right side
    7,405.74x = 36,041,845.25
  5. Step 5: Solve for x
    x = 36,041,845.25/7,405.74
  6. Step 6: Final answer
    x = 4,866.74

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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.