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Finding the Fourth Proportional to 7,699.44, 10,625.20 and 4,162.63

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Solution

The fourth proportional to 7,699.44, 10,625.20 and 4,162.63 is: 5,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.44 : 10,625.20 = 4,162.63 : x
  2. Step 2: Convert to fraction form
    7,699.44/10,625.20 = 4,162.63/x
  3. Step 3: Cross multiply
    7,699.44x = 10,625.20 × 4,162.63
  4. Step 4: Simplify right side
    7,699.44x = 44,228,776.28
  5. Step 5: Solve for x
    x = 44,228,776.28/7,699.44
  6. Step 6: Final answer
    x = 5,744.41

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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.