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Finding the Fourth Proportional to 7,734.79, 11,608.11 and 4,036.94

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Solution

The fourth proportional to 7,734.79, 11,608.11 and 4,036.94 is: 6,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.79 : 11,608.11 = 4,036.94 : x
  2. Step 2: Convert to fraction form
    7,734.79/11,608.11 = 4,036.94/x
  3. Step 3: Cross multiply
    7,734.79x = 11,608.11 × 4,036.94
  4. Step 4: Simplify right side
    7,734.79x = 46,861,229.07
  5. Step 5: Solve for x
    x = 46,861,229.07/7,734.79
  6. Step 6: Final answer
    x = 6,058.50

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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.