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Finding the Fourth Proportional to 11,774.07, 16,255.35 and 7,798.59

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Solution

The fourth proportional to 11,774.07, 16,255.35 and 7,798.59 is: 10,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.07 : 16,255.35 = 7,798.59 : x
  2. Step 2: Convert to fraction form
    11,774.07/16,255.35 = 7,798.59/x
  3. Step 3: Cross multiply
    11,774.07x = 16,255.35 × 7,798.59
  4. Step 4: Simplify right side
    11,774.07x = 126,768,809.96
  5. Step 5: Solve for x
    x = 126,768,809.96/11,774.07
  6. Step 6: Final answer
    x = 10,766.78

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