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Finding the Fourth Proportional to 7,759.41, 11,646.39 and 4,064.29

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Solution

The fourth proportional to 7,759.41, 11,646.39 and 4,064.29 is: 6,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.41 : 11,646.39 = 4,064.29 : x
  2. Step 2: Convert to fraction form
    7,759.41/11,646.39 = 4,064.29/x
  3. Step 3: Cross multiply
    7,759.41x = 11,646.39 × 4,064.29
  4. Step 4: Simplify right side
    7,759.41x = 47,334,292.54
  5. Step 5: Solve for x
    x = 47,334,292.54/7,759.41
  6. Step 6: Final answer
    x = 6,100.25

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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.