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Finding the Fourth Proportional to 11,767.86, 17,645.58 and 5,190.93

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Solution

The fourth proportional to 11,767.86, 17,645.58 and 5,190.93 is: 7,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.86 : 17,645.58 = 5,190.93 : x
  2. Step 2: Convert to fraction form
    11,767.86/17,645.58 = 5,190.93/x
  3. Step 3: Cross multiply
    11,767.86x = 17,645.58 × 5,190.93
  4. Step 4: Simplify right side
    11,767.86x = 91,596,970.59
  5. Step 5: Solve for x
    x = 91,596,970.59/11,767.86
  6. Step 6: Final answer
    x = 7,783.66

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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.