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Finding the Fourth Proportional to 7,943.56, 10,937.02 and 6,049.07

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Solution

The fourth proportional to 7,943.56, 10,937.02 and 6,049.07 is: 8,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.56 : 10,937.02 = 6,049.07 : x
  2. Step 2: Convert to fraction form
    7,943.56/10,937.02 = 6,049.07/x
  3. Step 3: Cross multiply
    7,943.56x = 10,937.02 × 6,049.07
  4. Step 4: Simplify right side
    7,943.56x = 66,158,799.57
  5. Step 5: Solve for x
    x = 66,158,799.57/7,943.56
  6. Step 6: Final answer
    x = 8,328.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.