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Finding the Fourth Proportional to 8,296.02, 11,448.09 and 5,152.14

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Solution

The fourth proportional to 8,296.02, 11,448.09 and 5,152.14 is: 7,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.02 : 11,448.09 = 5,152.14 : x
  2. Step 2: Convert to fraction form
    8,296.02/11,448.09 = 5,152.14/x
  3. Step 3: Cross multiply
    8,296.02x = 11,448.09 × 5,152.14
  4. Step 4: Simplify right side
    8,296.02x = 58,982,162.41
  5. Step 5: Solve for x
    x = 58,982,162.41/8,296.02
  6. Step 6: Final answer
    x = 7,109.69

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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.