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Finding the Fourth Proportional to 7,954.89, 11,927.60 and 3,024.89

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Solution

The fourth proportional to 7,954.89, 11,927.60 and 3,024.89 is: 4,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.89 : 11,927.60 = 3,024.89 : x
  2. Step 2: Convert to fraction form
    7,954.89/11,927.60 = 3,024.89/x
  3. Step 3: Cross multiply
    7,954.89x = 11,927.60 × 3,024.89
  4. Step 4: Simplify right side
    7,954.89x = 36,079,677.96
  5. Step 5: Solve for x
    x = 36,079,677.96/7,954.89
  6. Step 6: Final answer
    x = 4,535.53

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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.