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Finding the Fourth Proportional to 11,984.68, 17,965.41 and 4,583.44

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Solution

The fourth proportional to 11,984.68, 17,965.41 and 4,583.44 is: 6,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.68 : 17,965.41 = 4,583.44 : x
  2. Step 2: Convert to fraction form
    11,984.68/17,965.41 = 4,583.44/x
  3. Step 3: Cross multiply
    11,984.68x = 17,965.41 × 4,583.44
  4. Step 4: Simplify right side
    11,984.68x = 82,343,378.81
  5. Step 5: Solve for x
    x = 82,343,378.81/11,984.68
  6. Step 6: Final answer
    x = 6,870.72

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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.