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Finding the Fourth Proportional to 11,564.31, 17,334.15 and 6,012.06

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Solution

The fourth proportional to 11,564.31, 17,334.15 and 6,012.06 is: 9,011.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.31 : 17,334.15 = 6,012.06 : x
  2. Step 2: Convert to fraction form
    11,564.31/17,334.15 = 6,012.06/x
  3. Step 3: Cross multiply
    11,564.31x = 17,334.15 × 6,012.06
  4. Step 4: Simplify right side
    11,564.31x = 104,213,949.85
  5. Step 5: Solve for x
    x = 104,213,949.85/11,564.31
  6. Step 6: Final answer
    x = 9,011.69

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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.