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Finding the Fourth Proportional to 11,705.86, 17,565.78 and 4,208.80

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Solution

The fourth proportional to 11,705.86, 17,565.78 and 4,208.80 is: 6,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.86 : 17,565.78 = 4,208.80 : x
  2. Step 2: Convert to fraction form
    11,705.86/17,565.78 = 4,208.80/x
  3. Step 3: Cross multiply
    11,705.86x = 17,565.78 × 4,208.80
  4. Step 4: Simplify right side
    11,705.86x = 73,930,854.86
  5. Step 5: Solve for x
    x = 73,930,854.86/11,705.86
  6. Step 6: Final answer
    x = 6,315.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.