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Finding the Fourth Proportional to 11,533.99, 17,306.46 and 6,863.23

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Solution

The fourth proportional to 11,533.99, 17,306.46 and 6,863.23 is: 10,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.99 : 17,306.46 = 6,863.23 : x
  2. Step 2: Convert to fraction form
    11,533.99/17,306.46 = 6,863.23/x
  3. Step 3: Cross multiply
    11,533.99x = 17,306.46 × 6,863.23
  4. Step 4: Simplify right side
    11,533.99x = 118,778,094.62
  5. Step 5: Solve for x
    x = 118,778,094.62/11,533.99
  6. Step 6: Final answer
    x = 10,298.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.