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Finding the Fourth Proportional to 7,884.46, 10,880.63 and 4,527.23

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Solution

The fourth proportional to 7,884.46, 10,880.63 and 4,527.23 is: 6,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.46 : 10,880.63 = 4,527.23 : x
  2. Step 2: Convert to fraction form
    7,884.46/10,880.63 = 4,527.23/x
  3. Step 3: Cross multiply
    7,884.46x = 10,880.63 × 4,527.23
  4. Step 4: Simplify right side
    7,884.46x = 49,259,054.49
  5. Step 5: Solve for x
    x = 49,259,054.49/7,884.46
  6. Step 6: Final answer
    x = 6,247.61

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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.