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Finding the Fourth Proportional to 7,313.66, 10,964.71 and 2,632.86

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Solution

The fourth proportional to 7,313.66, 10,964.71 and 2,632.86 is: 3,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.66 : 10,964.71 = 2,632.86 : x
  2. Step 2: Convert to fraction form
    7,313.66/10,964.71 = 2,632.86/x
  3. Step 3: Cross multiply
    7,313.66x = 10,964.71 × 2,632.86
  4. Step 4: Simplify right side
    7,313.66x = 28,868,546.37
  5. Step 5: Solve for x
    x = 28,868,546.37/7,313.66
  6. Step 6: Final answer
    x = 3,947.21

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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.