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Finding the Fourth Proportional to 11,708.72, 17,563.10 and 4,783.22

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Solution

The fourth proportional to 11,708.72, 17,563.10 and 4,783.22 is: 7,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.72 : 17,563.10 = 4,783.22 : x
  2. Step 2: Convert to fraction form
    11,708.72/17,563.10 = 4,783.22/x
  3. Step 3: Cross multiply
    11,708.72x = 17,563.10 × 4,783.22
  4. Step 4: Simplify right side
    11,708.72x = 84,008,125.31
  5. Step 5: Solve for x
    x = 84,008,125.31/11,708.72
  6. Step 6: Final answer
    x = 7,174.84

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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.