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Finding the Fourth Proportional to 7,954.88, 11,932.29 and 3,023.33

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Solution

The fourth proportional to 7,954.88, 11,932.29 and 3,023.33 is: 4,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.88 : 11,932.29 = 3,023.33 : x
  2. Step 2: Convert to fraction form
    7,954.88/11,932.29 = 3,023.33/x
  3. Step 3: Cross multiply
    7,954.88x = 11,932.29 × 3,023.33
  4. Step 4: Simplify right side
    7,954.88x = 36,075,190.66
  5. Step 5: Solve for x
    x = 36,075,190.66/7,954.88
  6. Step 6: Final answer
    x = 4,534.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.