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Finding the Fourth Proportional to 11,491.70, 17,237.55 and 5,659.70

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Solution

The fourth proportional to 11,491.70, 17,237.55 and 5,659.70 is: 8,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.70 : 17,237.55 = 5,659.70 : x
  2. Step 2: Convert to fraction form
    11,491.70/17,237.55 = 5,659.70/x
  3. Step 3: Cross multiply
    11,491.70x = 17,237.55 × 5,659.70
  4. Step 4: Simplify right side
    11,491.70x = 97,559,361.74
  5. Step 5: Solve for x
    x = 97,559,361.74/11,491.70
  6. Step 6: Final answer
    x = 8,489.55

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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.