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Finding the Fourth Proportional to 7,984.34, 11,017.37 and 4,627.12

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Solution

The fourth proportional to 7,984.34, 11,017.37 and 4,627.12 is: 6,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.34 : 11,017.37 = 4,627.12 : x
  2. Step 2: Convert to fraction form
    7,984.34/11,017.37 = 4,627.12/x
  3. Step 3: Cross multiply
    7,984.34x = 11,017.37 × 4,627.12
  4. Step 4: Simplify right side
    7,984.34x = 50,978,693.07
  5. Step 5: Solve for x
    x = 50,978,693.07/7,984.34
  6. Step 6: Final answer
    x = 6,384.83

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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.