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Finding the Fourth Proportional to 7,690.95, 11,536.88 and 2,144.17

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Solution

The fourth proportional to 7,690.95, 11,536.88 and 2,144.17 is: 3,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.95 : 11,536.88 = 2,144.17 : x
  2. Step 2: Convert to fraction form
    7,690.95/11,536.88 = 2,144.17/x
  3. Step 3: Cross multiply
    7,690.95x = 11,536.88 × 2,144.17
  4. Step 4: Simplify right side
    7,690.95x = 24,737,047.75
  5. Step 5: Solve for x
    x = 24,737,047.75/7,690.95
  6. Step 6: Final answer
    x = 3,216.38

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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.