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Finding the Fourth Proportional to 11,833.78, 16,325.67 and 7,857.04

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Solution

The fourth proportional to 11,833.78, 16,325.67 and 7,857.04 is: 10,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.78 : 16,325.67 = 7,857.04 : x
  2. Step 2: Convert to fraction form
    11,833.78/16,325.67 = 7,857.04/x
  3. Step 3: Cross multiply
    11,833.78x = 16,325.67 × 7,857.04
  4. Step 4: Simplify right side
    11,833.78x = 128,271,442.22
  5. Step 5: Solve for x
    x = 128,271,442.22/11,833.78
  6. Step 6: Final answer
    x = 10,839.43

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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.