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Finding the Fourth Proportional to 7,699.37, 10,625.14 and 4,162.58

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Solution

The fourth proportional to 7,699.37, 10,625.14 and 4,162.58 is: 5,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.37 : 10,625.14 = 4,162.58 : x
  2. Step 2: Convert to fraction form
    7,699.37/10,625.14 = 4,162.58/x
  3. Step 3: Cross multiply
    7,699.37x = 10,625.14 × 4,162.58
  4. Step 4: Simplify right side
    7,699.37x = 44,227,942.14
  5. Step 5: Solve for x
    x = 44,227,942.14/7,699.37
  6. Step 6: Final answer
    x = 5,744.36

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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.