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Finding the Fourth Proportional to 7,309.64, 10,958.81 and 4,963.47

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Solution

The fourth proportional to 7,309.64, 10,958.81 and 4,963.47 is: 7,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.64 : 10,958.81 = 4,963.47 : x
  2. Step 2: Convert to fraction form
    7,309.64/10,958.81 = 4,963.47/x
  3. Step 3: Cross multiply
    7,309.64x = 10,958.81 × 4,963.47
  4. Step 4: Simplify right side
    7,309.64x = 54,393,699.85
  5. Step 5: Solve for x
    x = 54,393,699.85/7,309.64
  6. Step 6: Final answer
    x = 7,441.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.