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Finding the Fourth Proportional to 7,945.60, 11,909.44 and 3,012.16

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Solution

The fourth proportional to 7,945.60, 11,909.44 and 3,012.16 is: 4,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.60 : 11,909.44 = 3,012.16 : x
  2. Step 2: Convert to fraction form
    7,945.60/11,909.44 = 3,012.16/x
  3. Step 3: Cross multiply
    7,945.60x = 11,909.44 × 3,012.16
  4. Step 4: Simplify right side
    7,945.60x = 35,873,138.79
  5. Step 5: Solve for x
    x = 35,873,138.79/7,945.60
  6. Step 6: Final answer
    x = 4,514.84

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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.