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Finding the Fourth Proportional to 7,544.83, 10,411.76 and 4,187.63

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Solution

The fourth proportional to 7,544.83, 10,411.76 and 4,187.63 is: 5,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.83 : 10,411.76 = 4,187.63 : x
  2. Step 2: Convert to fraction form
    7,544.83/10,411.76 = 4,187.63/x
  3. Step 3: Cross multiply
    7,544.83x = 10,411.76 × 4,187.63
  4. Step 4: Simplify right side
    7,544.83x = 43,600,611.54
  5. Step 5: Solve for x
    x = 43,600,611.54/7,544.83
  6. Step 6: Final answer
    x = 5,778.87

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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.