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Finding the Fourth Proportional to 11,783.78, 17,661.08 and 5,937.20

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Solution

The fourth proportional to 11,783.78, 17,661.08 and 5,937.20 is: 8,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.78 : 17,661.08 = 5,937.20 : x
  2. Step 2: Convert to fraction form
    11,783.78/17,661.08 = 5,937.20/x
  3. Step 3: Cross multiply
    11,783.78x = 17,661.08 × 5,937.20
  4. Step 4: Simplify right side
    11,783.78x = 104,857,364.18
  5. Step 5: Solve for x
    x = 104,857,364.18/11,783.78
  6. Step 6: Final answer
    x = 8,898.45

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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.