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Finding the Fourth Proportional to 7,902.41, 11,837.95 and 6,039.59

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Solution

The fourth proportional to 7,902.41, 11,837.95 and 6,039.59 is: 9,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.41 : 11,837.95 = 6,039.59 : x
  2. Step 2: Convert to fraction form
    7,902.41/11,837.95 = 6,039.59/x
  3. Step 3: Cross multiply
    7,902.41x = 11,837.95 × 6,039.59
  4. Step 4: Simplify right side
    7,902.41x = 71,496,290.15
  5. Step 5: Solve for x
    x = 71,496,290.15/7,902.41
  6. Step 6: Final answer
    x = 9,047.41

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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.