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Finding the Fourth Proportional to 11,206.31, 16,803.72 and 6,274.62

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Solution

The fourth proportional to 11,206.31, 16,803.72 and 6,274.62 is: 9,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.31 : 16,803.72 = 6,274.62 : x
  2. Step 2: Convert to fraction form
    11,206.31/16,803.72 = 6,274.62/x
  3. Step 3: Cross multiply
    11,206.31x = 16,803.72 × 6,274.62
  4. Step 4: Simplify right side
    11,206.31x = 105,436,957.59
  5. Step 5: Solve for x
    x = 105,436,957.59/11,206.31
  6. Step 6: Final answer
    x = 9,408.72

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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.