Home / 7,734.07-11,596.49-2,802.04

Finding the Fourth Proportional to 7,734.07, 11,596.49 and 2,802.04

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Solution

The fourth proportional to 7,734.07, 11,596.49 and 2,802.04 is: 4,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.07 : 11,596.49 = 2,802.04 : x
  2. Step 2: Convert to fraction form
    7,734.07/11,596.49 = 2,802.04/x
  3. Step 3: Cross multiply
    7,734.07x = 11,596.49 × 2,802.04
  4. Step 4: Simplify right side
    7,734.07x = 32,493,828.84
  5. Step 5: Solve for x
    x = 32,493,828.84/7,734.07
  6. Step 6: Final answer
    x = 4,201.39

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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.