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Finding the Fourth Proportional to 7,754.97, 11,632.32 and 2,208.36

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Solution

The fourth proportional to 7,754.97, 11,632.32 and 2,208.36 is: 3,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.97 : 11,632.32 = 2,208.36 : x
  2. Step 2: Convert to fraction form
    7,754.97/11,632.32 = 2,208.36/x
  3. Step 3: Cross multiply
    7,754.97x = 11,632.32 × 2,208.36
  4. Step 4: Simplify right side
    7,754.97x = 25,688,350.20
  5. Step 5: Solve for x
    x = 25,688,350.20/7,754.97
  6. Step 6: Final answer
    x = 3,312.50

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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.