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Finding the Fourth Proportional to 11,491.83, 17,233.50 and 4,094.33

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Solution

The fourth proportional to 11,491.83, 17,233.50 and 4,094.33 is: 6,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.83 : 17,233.50 = 4,094.33 : x
  2. Step 2: Convert to fraction form
    11,491.83/17,233.50 = 4,094.33/x
  3. Step 3: Cross multiply
    11,491.83x = 17,233.50 × 4,094.33
  4. Step 4: Simplify right side
    11,491.83x = 70,559,636.06
  5. Step 5: Solve for x
    x = 70,559,636.06/11,491.83
  6. Step 6: Final answer
    x = 6,139.98

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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.