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Finding the Fourth Proportional to 11,588.49, 17,380.53 and 3,266.46

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Solution

The fourth proportional to 11,588.49, 17,380.53 and 3,266.46 is: 4,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.49 : 17,380.53 = 3,266.46 : x
  2. Step 2: Convert to fraction form
    11,588.49/17,380.53 = 3,266.46/x
  3. Step 3: Cross multiply
    11,588.49x = 17,380.53 × 3,266.46
  4. Step 4: Simplify right side
    11,588.49x = 56,772,806.02
  5. Step 5: Solve for x
    x = 56,772,806.02/11,588.49
  6. Step 6: Final answer
    x = 4,899.07

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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.