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Finding the Fourth Proportional to 11,961, 17,950.82 and 4,570.70

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Solution

The fourth proportional to 11,961, 17,950.82 and 4,570.70 is: 6,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961 : 17,950.82 = 4,570.70 : x
  2. Step 2: Convert to fraction form
    11,961/17,950.82 = 4,570.70/x
  3. Step 3: Cross multiply
    11,961x = 17,950.82 × 4,570.70
  4. Step 4: Simplify right side
    11,961x = 82,047,700.37
  5. Step 5: Solve for x
    x = 82,047,700.37/11,961
  6. Step 6: Final answer
    x = 6,859.60

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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.