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Finding the Fourth Proportional to 11,783.92, 17,678.46 and 3,886.12

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Solution

The fourth proportional to 11,783.92, 17,678.46 and 3,886.12 is: 5,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.92 : 17,678.46 = 3,886.12 : x
  2. Step 2: Convert to fraction form
    11,783.92/17,678.46 = 3,886.12/x
  3. Step 3: Cross multiply
    11,783.92x = 17,678.46 × 3,886.12
  4. Step 4: Simplify right side
    11,783.92x = 68,700,616.98
  5. Step 5: Solve for x
    x = 68,700,616.98/11,783.92
  6. Step 6: Final answer
    x = 5,830.03

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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.