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Finding the Fourth Proportional to 7,679.54, 11,515.21 and 2,746.50

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Solution

The fourth proportional to 7,679.54, 11,515.21 and 2,746.50 is: 4,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.54 : 11,515.21 = 2,746.50 : x
  2. Step 2: Convert to fraction form
    7,679.54/11,515.21 = 2,746.50/x
  3. Step 3: Cross multiply
    7,679.54x = 11,515.21 × 2,746.50
  4. Step 4: Simplify right side
    7,679.54x = 31,626,524.27
  5. Step 5: Solve for x
    x = 31,626,524.27/7,679.54
  6. Step 6: Final answer
    x = 4,118.28

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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.