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Finding the Fourth Proportional to 8,349.12, 11,525.76 and 5,209.92

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Solution

The fourth proportional to 8,349.12, 11,525.76 and 5,209.92 is: 7,192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.12 : 11,525.76 = 5,209.92 : x
  2. Step 2: Convert to fraction form
    8,349.12/11,525.76 = 5,209.92/x
  3. Step 3: Cross multiply
    8,349.12x = 11,525.76 × 5,209.92
  4. Step 4: Simplify right side
    8,349.12x = 60,048,287.54
  5. Step 5: Solve for x
    x = 60,048,287.54/8,349.12
  6. Step 6: Final answer
    x = 7,192.17

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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.