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Finding the Fourth Proportional to 7,766.15, 11,642.63 and 3,089.46

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Solution

The fourth proportional to 7,766.15, 11,642.63 and 3,089.46 is: 4,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.15 : 11,642.63 = 3,089.46 : x
  2. Step 2: Convert to fraction form
    7,766.15/11,642.63 = 3,089.46/x
  3. Step 3: Cross multiply
    7,766.15x = 11,642.63 × 3,089.46
  4. Step 4: Simplify right side
    7,766.15x = 35,969,439.68
  5. Step 5: Solve for x
    x = 35,969,439.68/7,766.15
  6. Step 6: Final answer
    x = 4,631.57

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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.