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Finding the Fourth Proportional to 11,793.68, 16,268.52 and 7,370

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Solution

The fourth proportional to 11,793.68, 16,268.52 and 7,370 is: 10,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.68 : 16,268.52 = 7,370 : x
  2. Step 2: Convert to fraction form
    11,793.68/16,268.52 = 7,370/x
  3. Step 3: Cross multiply
    11,793.68x = 16,268.52 × 7,370
  4. Step 4: Simplify right side
    11,793.68x = 119,898,992.40
  5. Step 5: Solve for x
    x = 119,898,992.40/11,793.68
  6. Step 6: Final answer
    x = 10,166.38

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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.