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Finding the Fourth Proportional to 7,986.56, 11,980.32 and 3,368

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Solution

The fourth proportional to 7,986.56, 11,980.32 and 3,368 is: 5,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.56 : 11,980.32 = 3,368 : x
  2. Step 2: Convert to fraction form
    7,986.56/11,980.32 = 3,368/x
  3. Step 3: Cross multiply
    7,986.56x = 11,980.32 × 3,368
  4. Step 4: Simplify right side
    7,986.56x = 40,349,717.76
  5. Step 5: Solve for x
    x = 40,349,717.76/7,986.56
  6. Step 6: Final answer
    x = 5,052.20

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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.