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Finding the Fourth Proportional to 7,690.10, 11,531.05 and 3,983.14

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Solution

The fourth proportional to 7,690.10, 11,531.05 and 3,983.14 is: 5,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.10 : 11,531.05 = 3,983.14 : x
  2. Step 2: Convert to fraction form
    7,690.10/11,531.05 = 3,983.14/x
  3. Step 3: Cross multiply
    7,690.10x = 11,531.05 × 3,983.14
  4. Step 4: Simplify right side
    7,690.10x = 45,929,728.84
  5. Step 5: Solve for x
    x = 45,929,728.84/7,690.10
  6. Step 6: Final answer
    x = 5,972.58

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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.