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Finding the Fourth Proportional to 11,486.33, 17,233.79 and 7,823.10

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Solution

The fourth proportional to 11,486.33, 17,233.79 and 7,823.10 is: 11,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.33 : 17,233.79 = 7,823.10 : x
  2. Step 2: Convert to fraction form
    11,486.33/17,233.79 = 7,823.10/x
  3. Step 3: Cross multiply
    11,486.33x = 17,233.79 × 7,823.10
  4. Step 4: Simplify right side
    11,486.33x = 134,821,623.43
  5. Step 5: Solve for x
    x = 134,821,623.43/11,486.33
  6. Step 6: Final answer
    x = 11,737.58

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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.