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Finding the Fourth Proportional to 8,178.33, 11,293.59 and 5,195.13

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Solution

The fourth proportional to 8,178.33, 11,293.59 and 5,195.13 is: 7,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.33 : 11,293.59 = 5,195.13 : x
  2. Step 2: Convert to fraction form
    8,178.33/11,293.59 = 5,195.13/x
  3. Step 3: Cross multiply
    8,178.33x = 11,293.59 × 5,195.13
  4. Step 4: Simplify right side
    8,178.33x = 58,671,668.22
  5. Step 5: Solve for x
    x = 58,671,668.22/8,178.33
  6. Step 6: Final answer
    x = 7,174.04

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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.