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Finding the Fourth Proportional to 7,544.72, 10,411.80 and 4,187.60

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Solution

The fourth proportional to 7,544.72, 10,411.80 and 4,187.60 is: 5,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.72 : 10,411.80 = 4,187.60 : x
  2. Step 2: Convert to fraction form
    7,544.72/10,411.80 = 4,187.60/x
  3. Step 3: Cross multiply
    7,544.72x = 10,411.80 × 4,187.60
  4. Step 4: Simplify right side
    7,544.72x = 43,600,453.68
  5. Step 5: Solve for x
    x = 43,600,453.68/7,544.72
  6. Step 6: Final answer
    x = 5,778.94

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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.