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Finding the Fourth Proportional to 7,544.25, 10,411.07 and 4,400.64

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Solution

The fourth proportional to 7,544.25, 10,411.07 and 4,400.64 is: 6,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.25 : 10,411.07 = 4,400.64 : x
  2. Step 2: Convert to fraction form
    7,544.25/10,411.07 = 4,400.64/x
  3. Step 3: Cross multiply
    7,544.25x = 10,411.07 × 4,400.64
  4. Step 4: Simplify right side
    7,544.25x = 45,815,349.08
  5. Step 5: Solve for x
    x = 45,815,349.08/7,544.25
  6. Step 6: Final answer
    x = 6,072.88

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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.