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Finding the Fourth Proportional to 8,200.32, 12,300.24 and 4,504.32

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Solution

The fourth proportional to 8,200.32, 12,300.24 and 4,504.32 is: 6,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.32 : 12,300.24 = 4,504.32 : x
  2. Step 2: Convert to fraction form
    8,200.32/12,300.24 = 4,504.32/x
  3. Step 3: Cross multiply
    8,200.32x = 12,300.24 × 4,504.32
  4. Step 4: Simplify right side
    8,200.32x = 55,404,217.04
  5. Step 5: Solve for x
    x = 55,404,217.04/8,200.32
  6. Step 6: Final answer
    x = 6,756.35

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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.