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Finding the Fourth Proportional to 11,846.06, 17,772 and 3,526.04

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Solution

The fourth proportional to 11,846.06, 17,772 and 3,526.04 is: 5,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.06 : 17,772 = 3,526.04 : x
  2. Step 2: Convert to fraction form
    11,846.06/17,772 = 3,526.04/x
  3. Step 3: Cross multiply
    11,846.06x = 17,772 × 3,526.04
  4. Step 4: Simplify right side
    11,846.06x = 62,664,782.88
  5. Step 5: Solve for x
    x = 62,664,782.88/11,846.06
  6. Step 6: Final answer
    x = 5,289.93

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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.