Home / 10,733.64-16,101-2,942.52

Finding the Fourth Proportional to 10,733.64, 16,101 and 2,942.52

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Solution

The fourth proportional to 10,733.64, 16,101 and 2,942.52 is: 4,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.64 : 16,101 = 2,942.52 : x
  2. Step 2: Convert to fraction form
    10,733.64/16,101 = 2,942.52/x
  3. Step 3: Cross multiply
    10,733.64x = 16,101 × 2,942.52
  4. Step 4: Simplify right side
    10,733.64x = 47,377,514.52
  5. Step 5: Solve for x
    x = 47,377,514.52/10,733.64
  6. Step 6: Final answer
    x = 4,413.93

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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.