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Finding the Fourth Proportional to 8,200.27, 12,293.10 and 3,004.93

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Solution

The fourth proportional to 8,200.27, 12,293.10 and 3,004.93 is: 4,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.27 : 12,293.10 = 3,004.93 : x
  2. Step 2: Convert to fraction form
    8,200.27/12,293.10 = 3,004.93/x
  3. Step 3: Cross multiply
    8,200.27x = 12,293.10 × 3,004.93
  4. Step 4: Simplify right side
    8,200.27x = 36,939,904.98
  5. Step 5: Solve for x
    x = 36,939,904.98/8,200.27
  6. Step 6: Final answer
    x = 4,504.72

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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.