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Finding the Fourth Proportional to 11,835.42, 17,762.31 and 4,446.60

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Solution

The fourth proportional to 11,835.42, 17,762.31 and 4,446.60 is: 6,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.42 : 17,762.31 = 4,446.60 : x
  2. Step 2: Convert to fraction form
    11,835.42/17,762.31 = 4,446.60/x
  3. Step 3: Cross multiply
    11,835.42x = 17,762.31 × 4,446.60
  4. Step 4: Simplify right side
    11,835.42x = 78,981,887.65
  5. Step 5: Solve for x
    x = 78,981,887.65/11,835.42
  6. Step 6: Final answer
    x = 6,673.35

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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.