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Finding the Fourth Proportional to 7,976.94, 11,965.84 and 2,430.46

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Solution

The fourth proportional to 7,976.94, 11,965.84 and 2,430.46 is: 3,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.94 : 11,965.84 = 2,430.46 : x
  2. Step 2: Convert to fraction form
    7,976.94/11,965.84 = 2,430.46/x
  3. Step 3: Cross multiply
    7,976.94x = 11,965.84 × 2,430.46
  4. Step 4: Simplify right side
    7,976.94x = 29,082,495.49
  5. Step 5: Solve for x
    x = 29,082,495.49/7,976.94
  6. Step 6: Final answer
    x = 3,645.82

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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.