Home / 7,743.52-10,686-4,206.74

Finding the Fourth Proportional to 7,743.52, 10,686 and 4,206.74

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Solution

The fourth proportional to 7,743.52, 10,686 and 4,206.74 is: 5,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.52 : 10,686 = 4,206.74 : x
  2. Step 2: Convert to fraction form
    7,743.52/10,686 = 4,206.74/x
  3. Step 3: Cross multiply
    7,743.52x = 10,686 × 4,206.74
  4. Step 4: Simplify right side
    7,743.52x = 44,953,223.64
  5. Step 5: Solve for x
    x = 44,953,223.64/7,743.52
  6. Step 6: Final answer
    x = 5,805.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.