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Finding the Fourth Proportional to 8,344.20, 11,515.02 and 4,807.34

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Solution

The fourth proportional to 8,344.20, 11,515.02 and 4,807.34 is: 6,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.20 : 11,515.02 = 4,807.34 : x
  2. Step 2: Convert to fraction form
    8,344.20/11,515.02 = 4,807.34/x
  3. Step 3: Cross multiply
    8,344.20x = 11,515.02 × 4,807.34
  4. Step 4: Simplify right side
    8,344.20x = 55,356,616.25
  5. Step 5: Solve for x
    x = 55,356,616.25/8,344.20
  6. Step 6: Final answer
    x = 6,634.14

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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.