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Finding the Fourth Proportional to 11,758.07, 16,226.03 and 6,380.48

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Solution

The fourth proportional to 11,758.07, 16,226.03 and 6,380.48 is: 8,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.07 : 16,226.03 = 6,380.48 : x
  2. Step 2: Convert to fraction form
    11,758.07/16,226.03 = 6,380.48/x
  3. Step 3: Cross multiply
    11,758.07x = 16,226.03 × 6,380.48
  4. Step 4: Simplify right side
    11,758.07x = 103,529,916.41
  5. Step 5: Solve for x
    x = 103,529,916.41/11,758.07
  6. Step 6: Final answer
    x = 8,805.01

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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.