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Finding the Fourth Proportional to 8,157.29, 12,235.73 and 2,313.90

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Solution

The fourth proportional to 8,157.29, 12,235.73 and 2,313.90 is: 3,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.29 : 12,235.73 = 2,313.90 : x
  2. Step 2: Convert to fraction form
    8,157.29/12,235.73 = 2,313.90/x
  3. Step 3: Cross multiply
    8,157.29x = 12,235.73 × 2,313.90
  4. Step 4: Simplify right side
    8,157.29x = 28,312,244.08
  5. Step 5: Solve for x
    x = 28,312,244.08/8,157.29
  6. Step 6: Final answer
    x = 3,470.79

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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.