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Finding the Fourth Proportional to 11,823.48, 16,323.18 and 7,850.04

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Solution

The fourth proportional to 11,823.48, 16,323.18 and 7,850.04 is: 10,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.48 : 16,323.18 = 7,850.04 : x
  2. Step 2: Convert to fraction form
    11,823.48/16,323.18 = 7,850.04/x
  3. Step 3: Cross multiply
    11,823.48x = 16,323.18 × 7,850.04
  4. Step 4: Simplify right side
    11,823.48x = 128,137,615.93
  5. Step 5: Solve for x
    x = 128,137,615.93/11,823.48
  6. Step 6: Final answer
    x = 10,837.56

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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.