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Finding the Fourth Proportional to 7,893.86, 11,836.95 and 4,608.02

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Solution

The fourth proportional to 7,893.86, 11,836.95 and 4,608.02 is: 6,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.86 : 11,836.95 = 4,608.02 : x
  2. Step 2: Convert to fraction form
    7,893.86/11,836.95 = 4,608.02/x
  3. Step 3: Cross multiply
    7,893.86x = 11,836.95 × 4,608.02
  4. Step 4: Simplify right side
    7,893.86x = 54,544,902.34
  5. Step 5: Solve for x
    x = 54,544,902.34/7,893.86
  6. Step 6: Final answer
    x = 6,909.79

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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.