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Finding the Fourth Proportional to 8,406.12, 11,600.35 and 4,629.20

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Solution

The fourth proportional to 8,406.12, 11,600.35 and 4,629.20 is: 6,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.12 : 11,600.35 = 4,629.20 : x
  2. Step 2: Convert to fraction form
    8,406.12/11,600.35 = 4,629.20/x
  3. Step 3: Cross multiply
    8,406.12x = 11,600.35 × 4,629.20
  4. Step 4: Simplify right side
    8,406.12x = 53,700,340.22
  5. Step 5: Solve for x
    x = 53,700,340.22/8,406.12
  6. Step 6: Final answer
    x = 6,388.24

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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.