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Finding the Fourth Proportional to 6,945.60, 10,416.84 and 2,014.16

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Solution

The fourth proportional to 6,945.60, 10,416.84 and 2,014.16 is: 3,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.60 : 10,416.84 = 2,014.16 : x
  2. Step 2: Convert to fraction form
    6,945.60/10,416.84 = 2,014.16/x
  3. Step 3: Cross multiply
    6,945.60x = 10,416.84 × 2,014.16
  4. Step 4: Simplify right side
    6,945.60x = 20,981,182.45
  5. Step 5: Solve for x
    x = 20,981,182.45/6,945.60
  6. Step 6: Final answer
    x = 3,020.79

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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.