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Finding the Fourth Proportional to 7,605.14, 10,493.97 and 4,462.34

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Solution

The fourth proportional to 7,605.14, 10,493.97 and 4,462.34 is: 6,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.14 : 10,493.97 = 4,462.34 : x
  2. Step 2: Convert to fraction form
    7,605.14/10,493.97 = 4,462.34/x
  3. Step 3: Cross multiply
    7,605.14x = 10,493.97 × 4,462.34
  4. Step 4: Simplify right side
    7,605.14x = 46,827,662.09
  5. Step 5: Solve for x
    x = 46,827,662.09/7,605.14
  6. Step 6: Final answer
    x = 6,157.37

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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.