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Finding the Fourth Proportional to 6,195.78, 8,548.53 and 5,408.34

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Solution

The fourth proportional to 6,195.78, 8,548.53 and 5,408.34 is: 7,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.78 : 8,548.53 = 5,408.34 : x
  2. Step 2: Convert to fraction form
    6,195.78/8,548.53 = 5,408.34/x
  3. Step 3: Cross multiply
    6,195.78x = 8,548.53 × 5,408.34
  4. Step 4: Simplify right side
    6,195.78x = 46,233,356.74
  5. Step 5: Solve for x
    x = 46,233,356.74/6,195.78
  6. Step 6: Final answer
    x = 7,462.07

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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.