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Finding the Fourth Proportional to 8,410.36, 12,617.02 and 3,477.23

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Solution

The fourth proportional to 8,410.36, 12,617.02 and 3,477.23 is: 5,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.36 : 12,617.02 = 3,477.23 : x
  2. Step 2: Convert to fraction form
    8,410.36/12,617.02 = 3,477.23/x
  3. Step 3: Cross multiply
    8,410.36x = 12,617.02 × 3,477.23
  4. Step 4: Simplify right side
    8,410.36x = 43,872,316.34
  5. Step 5: Solve for x
    x = 43,872,316.34/8,410.36
  6. Step 6: Final answer
    x = 5,216.46

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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.