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Finding the Fourth Proportional to 7,334.86, 10,976 and 6,351.07

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Solution

The fourth proportional to 7,334.86, 10,976 and 6,351.07 is: 9,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.86 : 10,976 = 6,351.07 : x
  2. Step 2: Convert to fraction form
    7,334.86/10,976 = 6,351.07/x
  3. Step 3: Cross multiply
    7,334.86x = 10,976 × 6,351.07
  4. Step 4: Simplify right side
    7,334.86x = 69,709,289.44
  5. Step 5: Solve for x
    x = 69,709,289.44/7,334.86
  6. Step 6: Final answer
    x = 9,503.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.