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Finding the Fourth Proportional to 11,524.72, 15,899.25 and 7,047.04

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Solution

The fourth proportional to 11,524.72, 15,899.25 and 7,047.04 is: 9,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.72 : 15,899.25 = 7,047.04 : x
  2. Step 2: Convert to fraction form
    11,524.72/15,899.25 = 7,047.04/x
  3. Step 3: Cross multiply
    11,524.72x = 15,899.25 × 7,047.04
  4. Step 4: Simplify right side
    11,524.72x = 112,042,650.72
  5. Step 5: Solve for x
    x = 112,042,650.72/11,524.72
  6. Step 6: Final answer
    x = 9,721.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.