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Finding the Fourth Proportional to 7,842.62, 10,822.44 and 4,485.98

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Solution

The fourth proportional to 7,842.62, 10,822.44 and 4,485.98 is: 6,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.62 : 10,822.44 = 4,485.98 : x
  2. Step 2: Convert to fraction form
    7,842.62/10,822.44 = 4,485.98/x
  3. Step 3: Cross multiply
    7,842.62x = 10,822.44 × 4,485.98
  4. Step 4: Simplify right side
    7,842.62x = 48,549,249.39
  5. Step 5: Solve for x
    x = 48,549,249.39/7,842.62
  6. Step 6: Final answer
    x = 6,190.44

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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.