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Finding the Fourth Proportional to 7,690.94, 11,536.52 and 2,144.16

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Solution

The fourth proportional to 7,690.94, 11,536.52 and 2,144.16 is: 3,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.94 : 11,536.52 = 2,144.16 : x
  2. Step 2: Convert to fraction form
    7,690.94/11,536.52 = 2,144.16/x
  3. Step 3: Cross multiply
    7,690.94x = 11,536.52 × 2,144.16
  4. Step 4: Simplify right side
    7,690.94x = 24,736,144.72
  5. Step 5: Solve for x
    x = 24,736,144.72/7,690.94
  6. Step 6: Final answer
    x = 3,216.27

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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.