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Finding the Fourth Proportional to 12,408.04, 17,123.26 and 6,819

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Solution

The fourth proportional to 12,408.04, 17,123.26 and 6,819 is: 9,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.04 : 17,123.26 = 6,819 : x
  2. Step 2: Convert to fraction form
    12,408.04/17,123.26 = 6,819/x
  3. Step 3: Cross multiply
    12,408.04x = 17,123.26 × 6,819
  4. Step 4: Simplify right side
    12,408.04x = 116,763,509.94
  5. Step 5: Solve for x
    x = 116,763,509.94/12,408.04
  6. Step 6: Final answer
    x = 9,410.31

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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.