Home / 8,102.42-11,184.14-4,746.31

Finding the Fourth Proportional to 8,102.42, 11,184.14 and 4,746.31

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Solution

The fourth proportional to 8,102.42, 11,184.14 and 4,746.31 is: 6,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.42 : 11,184.14 = 4,746.31 : x
  2. Step 2: Convert to fraction form
    8,102.42/11,184.14 = 4,746.31/x
  3. Step 3: Cross multiply
    8,102.42x = 11,184.14 × 4,746.31
  4. Step 4: Simplify right side
    8,102.42x = 53,083,395.52
  5. Step 5: Solve for x
    x = 53,083,395.52/8,102.42
  6. Step 6: Final answer
    x = 6,551.55

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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.