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Finding the Fourth Proportional to 7,884.39, 10,880.04 and 4,900.16

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Solution

The fourth proportional to 7,884.39, 10,880.04 and 4,900.16 is: 6,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.39 : 10,880.04 = 4,900.16 : x
  2. Step 2: Convert to fraction form
    7,884.39/10,880.04 = 4,900.16/x
  3. Step 3: Cross multiply
    7,884.39x = 10,880.04 × 4,900.16
  4. Step 4: Simplify right side
    7,884.39x = 53,313,882.41
  5. Step 5: Solve for x
    x = 53,313,882.41/7,884.39
  6. Step 6: Final answer
    x = 6,761.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.