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Finding the Fourth Proportional to 8,203.26, 12,313.08 and 4,315.86

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Solution

The fourth proportional to 8,203.26, 12,313.08 and 4,315.86 is: 6,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.26 : 12,313.08 = 4,315.86 : x
  2. Step 2: Convert to fraction form
    8,203.26/12,313.08 = 4,315.86/x
  3. Step 3: Cross multiply
    8,203.26x = 12,313.08 × 4,315.86
  4. Step 4: Simplify right side
    8,203.26x = 53,141,529.45
  5. Step 5: Solve for x
    x = 53,141,529.45/8,203.26
  6. Step 6: Final answer
    x = 6,478.10

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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.