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Finding the Fourth Proportional to 11,849.50, 17,783.88 and 6,007.78

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Solution

The fourth proportional to 11,849.50, 17,783.88 and 6,007.78 is: 9,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.50 : 17,783.88 = 6,007.78 : x
  2. Step 2: Convert to fraction form
    11,849.50/17,783.88 = 6,007.78/x
  3. Step 3: Cross multiply
    11,849.50x = 17,783.88 × 6,007.78
  4. Step 4: Simplify right side
    11,849.50x = 106,841,638.59
  5. Step 5: Solve for x
    x = 106,841,638.59/11,849.50
  6. Step 6: Final answer
    x = 9,016.55

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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.