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Finding the Fourth Proportional to 7,509.41, 10,364.27 and 4,367.42

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Solution

The fourth proportional to 7,509.41, 10,364.27 and 4,367.42 is: 6,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.41 : 10,364.27 = 4,367.42 : x
  2. Step 2: Convert to fraction form
    7,509.41/10,364.27 = 4,367.42/x
  3. Step 3: Cross multiply
    7,509.41x = 10,364.27 × 4,367.42
  4. Step 4: Simplify right side
    7,509.41x = 45,265,046.42
  5. Step 5: Solve for x
    x = 45,265,046.42/7,509.41
  6. Step 6: Final answer
    x = 6,027.78

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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.