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Finding the Fourth Proportional to 7,984.84, 11,018.06 and 4,627.63

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Solution

The fourth proportional to 7,984.84, 11,018.06 and 4,627.63 is: 6,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.84 : 11,018.06 = 4,627.63 : x
  2. Step 2: Convert to fraction form
    7,984.84/11,018.06 = 4,627.63/x
  3. Step 3: Cross multiply
    7,984.84x = 11,018.06 × 4,627.63
  4. Step 4: Simplify right side
    7,984.84x = 50,987,481.86
  5. Step 5: Solve for x
    x = 50,987,481.86/7,984.84
  6. Step 6: Final answer
    x = 6,385.54

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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.