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Finding the Fourth Proportional to 10,296.12, 15,450.66 and 6,408.12

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Solution

The fourth proportional to 10,296.12, 15,450.66 and 6,408.12 is: 9,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.12 : 15,450.66 = 6,408.12 : x
  2. Step 2: Convert to fraction form
    10,296.12/15,450.66 = 6,408.12/x
  3. Step 3: Cross multiply
    10,296.12x = 15,450.66 × 6,408.12
  4. Step 4: Simplify right side
    10,296.12x = 99,009,683.36
  5. Step 5: Solve for x
    x = 99,009,683.36/10,296.12
  6. Step 6: Final answer
    x = 9,616.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.