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Finding the Fourth Proportional to 11,782.72, 17,673.67 and 3,017.71

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Solution

The fourth proportional to 11,782.72, 17,673.67 and 3,017.71 is: 4,526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.72 : 17,673.67 = 3,017.71 : x
  2. Step 2: Convert to fraction form
    11,782.72/17,673.67 = 3,017.71/x
  3. Step 3: Cross multiply
    11,782.72x = 17,673.67 × 3,017.71
  4. Step 4: Simplify right side
    11,782.72x = 53,334,010.70
  5. Step 5: Solve for x
    x = 53,334,010.70/11,782.72
  6. Step 6: Final answer
    x = 4,526.46

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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.