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Finding the Fourth Proportional to 11,775.90, 17,663.84 and 3,984.50

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Solution

The fourth proportional to 11,775.90, 17,663.84 and 3,984.50 is: 5,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.90 : 17,663.84 = 3,984.50 : x
  2. Step 2: Convert to fraction form
    11,775.90/17,663.84 = 3,984.50/x
  3. Step 3: Cross multiply
    11,775.90x = 17,663.84 × 3,984.50
  4. Step 4: Simplify right side
    11,775.90x = 70,381,570.48
  5. Step 5: Solve for x
    x = 70,381,570.48/11,775.90
  6. Step 6: Final answer
    x = 5,976.75

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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.