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Finding the Fourth Proportional to 11,783.54, 17,674.59 and 4,857.86

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Solution

The fourth proportional to 11,783.54, 17,674.59 and 4,857.86 is: 7,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.54 : 17,674.59 = 4,857.86 : x
  2. Step 2: Convert to fraction form
    11,783.54/17,674.59 = 4,857.86/x
  3. Step 3: Cross multiply
    11,783.54x = 17,674.59 × 4,857.86
  4. Step 4: Simplify right side
    11,783.54x = 85,860,683.78
  5. Step 5: Solve for x
    x = 85,860,683.78/11,783.54
  6. Step 6: Final answer
    x = 7,286.49

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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.