Home / 7,742.68-11,603.76-4,048

Finding the Fourth Proportional to 7,742.68, 11,603.76 and 4,048

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Solution

The fourth proportional to 7,742.68, 11,603.76 and 4,048 is: 6,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.68 : 11,603.76 = 4,048 : x
  2. Step 2: Convert to fraction form
    7,742.68/11,603.76 = 4,048/x
  3. Step 3: Cross multiply
    7,742.68x = 11,603.76 × 4,048
  4. Step 4: Simplify right side
    7,742.68x = 46,972,020.48
  5. Step 5: Solve for x
    x = 46,972,020.48/7,742.68
  6. Step 6: Final answer
    x = 6,066.64

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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.