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Finding the Fourth Proportional to 7,699.41, 10,625.13 and 4,342.25

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Solution

The fourth proportional to 7,699.41, 10,625.13 and 4,342.25 is: 5,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.41 : 10,625.13 = 4,342.25 : x
  2. Step 2: Convert to fraction form
    7,699.41/10,625.13 = 4,342.25/x
  3. Step 3: Cross multiply
    7,699.41x = 10,625.13 × 4,342.25
  4. Step 4: Simplify right side
    7,699.41x = 46,136,942.68
  5. Step 5: Solve for x
    x = 46,136,942.68/7,699.41
  6. Step 6: Final answer
    x = 5,992.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.