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Finding the Fourth Proportional to 7,544.64, 10,411.44 and 4,187.42

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Solution

The fourth proportional to 7,544.64, 10,411.44 and 4,187.42 is: 5,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.64 : 10,411.44 = 4,187.42 : x
  2. Step 2: Convert to fraction form
    7,544.64/10,411.44 = 4,187.42/x
  3. Step 3: Cross multiply
    7,544.64x = 10,411.44 × 4,187.42
  4. Step 4: Simplify right side
    7,544.64x = 43,597,072.08
  5. Step 5: Solve for x
    x = 43,597,072.08/7,544.64
  6. Step 6: Final answer
    x = 5,778.55

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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.