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Finding the Fourth Proportional to 11,586.94, 17,381.43 and 3,267.02

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Solution

The fourth proportional to 11,586.94, 17,381.43 and 3,267.02 is: 4,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.94 : 17,381.43 = 3,267.02 : x
  2. Step 2: Convert to fraction form
    11,586.94/17,381.43 = 3,267.02/x
  3. Step 3: Cross multiply
    11,586.94x = 17,381.43 × 3,267.02
  4. Step 4: Simplify right side
    11,586.94x = 56,785,479.44
  5. Step 5: Solve for x
    x = 56,785,479.44/11,586.94
  6. Step 6: Final answer
    x = 4,900.82

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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.