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Finding the Fourth Proportional to 10,846.33, 16,258.41 and 6,156.44

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Solution

The fourth proportional to 10,846.33, 16,258.41 and 6,156.44 is: 9,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.33 : 16,258.41 = 6,156.44 : x
  2. Step 2: Convert to fraction form
    10,846.33/16,258.41 = 6,156.44/x
  3. Step 3: Cross multiply
    10,846.33x = 16,258.41 × 6,156.44
  4. Step 4: Simplify right side
    10,846.33x = 100,093,925.66
  5. Step 5: Solve for x
    x = 100,093,925.66/10,846.33
  6. Step 6: Final answer
    x = 9,228.37

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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.