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Finding the Fourth Proportional to 7,984.69, 11,018.87 and 4,448.13

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Solution

The fourth proportional to 7,984.69, 11,018.87 and 4,448.13 is: 6,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.69 : 11,018.87 = 4,448.13 : x
  2. Step 2: Convert to fraction form
    7,984.69/11,018.87 = 4,448.13/x
  3. Step 3: Cross multiply
    7,984.69x = 11,018.87 × 4,448.13
  4. Step 4: Simplify right side
    7,984.69x = 49,013,319.33
  5. Step 5: Solve for x
    x = 49,013,319.33/7,984.69
  6. Step 6: Final answer
    x = 6,138.41

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