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Finding the Fourth Proportional to 8,993.06, 12,408.36 and 5,406.38

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Solution

The fourth proportional to 8,993.06, 12,408.36 and 5,406.38 is: 7,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.06 : 12,408.36 = 5,406.38 : x
  2. Step 2: Convert to fraction form
    8,993.06/12,408.36 = 5,406.38/x
  3. Step 3: Cross multiply
    8,993.06x = 12,408.36 × 5,406.38
  4. Step 4: Simplify right side
    8,993.06x = 67,084,309.34
  5. Step 5: Solve for x
    x = 67,084,309.34/8,993.06
  6. Step 6: Final answer
    x = 7,459.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.