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Finding the Fourth Proportional to 11,586.93, 17,381.42 and 3,267.02

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Solution

The fourth proportional to 11,586.93, 17,381.42 and 3,267.02 is: 4,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.93 : 17,381.42 = 3,267.02 : x
  2. Step 2: Convert to fraction form
    11,586.93/17,381.42 = 3,267.02/x
  3. Step 3: Cross multiply
    11,586.93x = 17,381.42 × 3,267.02
  4. Step 4: Simplify right side
    11,586.93x = 56,785,446.77
  5. Step 5: Solve for x
    x = 56,785,446.77/11,586.93
  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.