Home / 7,806.41-11,707.79-2,258.26

Finding the Fourth Proportional to 7,806.41, 11,707.79 and 2,258.26

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Solution

The fourth proportional to 7,806.41, 11,707.79 and 2,258.26 is: 3,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.41 : 11,707.79 = 2,258.26 : x
  2. Step 2: Convert to fraction form
    7,806.41/11,707.79 = 2,258.26/x
  3. Step 3: Cross multiply
    7,806.41x = 11,707.79 × 2,258.26
  4. Step 4: Simplify right side
    7,806.41x = 26,439,271.84
  5. Step 5: Solve for x
    x = 26,439,271.84/7,806.41
  6. Step 6: Final answer
    x = 3,386.87

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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.