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Finding the Fourth Proportional to 8,509.32, 11,743.89 and 5,152.04

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Solution

The fourth proportional to 8,509.32, 11,743.89 and 5,152.04 is: 7,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.32 : 11,743.89 = 5,152.04 : x
  2. Step 2: Convert to fraction form
    8,509.32/11,743.89 = 5,152.04/x
  3. Step 3: Cross multiply
    8,509.32x = 11,743.89 × 5,152.04
  4. Step 4: Simplify right side
    8,509.32x = 60,504,991.04
  5. Step 5: Solve for x
    x = 60,504,991.04/8,509.32
  6. Step 6: Final answer
    x = 7,110.44

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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.