Home / 7,806.42-11,707.86-2,258.52

Finding the Fourth Proportional to 7,806.42, 11,707.86 and 2,258.52

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Solution

The fourth proportional to 7,806.42, 11,707.86 and 2,258.52 is: 3,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.42 : 11,707.86 = 2,258.52 : x
  2. Step 2: Convert to fraction form
    7,806.42/11,707.86 = 2,258.52/x
  3. Step 3: Cross multiply
    7,806.42x = 11,707.86 × 2,258.52
  4. Step 4: Simplify right side
    7,806.42x = 26,442,435.97
  5. Step 5: Solve for x
    x = 26,442,435.97/7,806.42
  6. Step 6: Final answer
    x = 3,387.27

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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.