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Finding the Fourth Proportional to 8,419.35, 12,629.03 and 5,466.90

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Solution

The fourth proportional to 8,419.35, 12,629.03 and 5,466.90 is: 8,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.35 : 12,629.03 = 5,466.90 : x
  2. Step 2: Convert to fraction form
    8,419.35/12,629.03 = 5,466.90/x
  3. Step 3: Cross multiply
    8,419.35x = 12,629.03 × 5,466.90
  4. Step 4: Simplify right side
    8,419.35x = 69,041,616.77
  5. Step 5: Solve for x
    x = 69,041,616.77/8,419.35
  6. Step 6: Final answer
    x = 8,200.35

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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.