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Finding the Fourth Proportional to 7,690.74, 11,536.07 and 2,144.08

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Solution

The fourth proportional to 7,690.74, 11,536.07 and 2,144.08 is: 3,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.74 : 11,536.07 = 2,144.08 : x
  2. Step 2: Convert to fraction form
    7,690.74/11,536.07 = 2,144.08/x
  3. Step 3: Cross multiply
    7,690.74x = 11,536.07 × 2,144.08
  4. Step 4: Simplify right side
    7,690.74x = 24,734,291.17
  5. Step 5: Solve for x
    x = 24,734,291.17/7,690.74
  6. Step 6: Final answer
    x = 3,216.11

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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.