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Finding the Fourth Proportional to 7,563.86, 11,334.24 and 3,178.92

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Solution

The fourth proportional to 7,563.86, 11,334.24 and 3,178.92 is: 4,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.86 : 11,334.24 = 3,178.92 : x
  2. Step 2: Convert to fraction form
    7,563.86/11,334.24 = 3,178.92/x
  3. Step 3: Cross multiply
    7,563.86x = 11,334.24 × 3,178.92
  4. Step 4: Simplify right side
    7,563.86x = 36,030,642.22
  5. Step 5: Solve for x
    x = 36,030,642.22/7,563.86
  6. Step 6: Final answer
    x = 4,763.53

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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.