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Finding the Fourth Proportional to 7,735.80, 11,611.28 and 4,040.96

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Solution

The fourth proportional to 7,735.80, 11,611.28 and 4,040.96 is: 6,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.80 : 11,611.28 = 4,040.96 : x
  2. Step 2: Convert to fraction form
    7,735.80/11,611.28 = 4,040.96/x
  3. Step 3: Cross multiply
    7,735.80x = 11,611.28 × 4,040.96
  4. Step 4: Simplify right side
    7,735.80x = 46,920,718.03
  5. Step 5: Solve for x
    x = 46,920,718.03/7,735.80
  6. Step 6: Final answer
    x = 6,065.40

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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.