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Finding the Fourth Proportional to 11,761.90, 17,642.85 and 3,970.60

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Solution

The fourth proportional to 11,761.90, 17,642.85 and 3,970.60 is: 5,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.90 : 17,642.85 = 3,970.60 : x
  2. Step 2: Convert to fraction form
    11,761.90/17,642.85 = 3,970.60/x
  3. Step 3: Cross multiply
    11,761.90x = 17,642.85 × 3,970.60
  4. Step 4: Simplify right side
    11,761.90x = 70,052,700.21
  5. Step 5: Solve for x
    x = 70,052,700.21/11,761.90
  6. Step 6: Final answer
    x = 5,955.90

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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.