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Finding the Fourth Proportional to 7,982.75, 11,018.94 and 4,838.94

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Solution

The fourth proportional to 7,982.75, 11,018.94 and 4,838.94 is: 6,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.75 : 11,018.94 = 4,838.94 : x
  2. Step 2: Convert to fraction form
    7,982.75/11,018.94 = 4,838.94/x
  3. Step 3: Cross multiply
    7,982.75x = 11,018.94 × 4,838.94
  4. Step 4: Simplify right side
    7,982.75x = 53,319,989.52
  5. Step 5: Solve for x
    x = 53,319,989.52/7,982.75
  6. Step 6: Final answer
    x = 6,679.40

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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.