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Finding the Fourth Proportional to 8,157.06, 12,235.65 and 2,313.72

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Solution

The fourth proportional to 8,157.06, 12,235.65 and 2,313.72 is: 3,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.06 : 12,235.65 = 2,313.72 : x
  2. Step 2: Convert to fraction form
    8,157.06/12,235.65 = 2,313.72/x
  3. Step 3: Cross multiply
    8,157.06x = 12,235.65 × 2,313.72
  4. Step 4: Simplify right side
    8,157.06x = 28,309,868.12
  5. Step 5: Solve for x
    x = 28,309,868.12/8,157.06
  6. Step 6: Final answer
    x = 3,470.60

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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.