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Finding the Fourth Proportional to 11,855.34, 17,782.63 and 3,535.43

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Solution

The fourth proportional to 11,855.34, 17,782.63 and 3,535.43 is: 5,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.34 : 17,782.63 = 3,535.43 : x
  2. Step 2: Convert to fraction form
    11,855.34/17,782.63 = 3,535.43/x
  3. Step 3: Cross multiply
    11,855.34x = 17,782.63 × 3,535.43
  4. Step 4: Simplify right side
    11,855.34x = 62,869,145.83
  5. Step 5: Solve for x
    x = 62,869,145.83/11,855.34
  6. Step 6: Final answer
    x = 5,303.02

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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.