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Finding the Fourth Proportional to 10,378.65, 15,571.92 and 6,221.64

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Solution

The fourth proportional to 10,378.65, 15,571.92 and 6,221.64 is: 9,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.65 : 15,571.92 = 6,221.64 : x
  2. Step 2: Convert to fraction form
    10,378.65/15,571.92 = 6,221.64/x
  3. Step 3: Cross multiply
    10,378.65x = 15,571.92 × 6,221.64
  4. Step 4: Simplify right side
    10,378.65x = 96,882,880.35
  5. Step 5: Solve for x
    x = 96,882,880.35/10,378.65
  6. Step 6: Final answer
    x = 9,334.82

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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.