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Finding the Fourth Proportional to 7,841.90, 10,822 and 4,485.02

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Solution

The fourth proportional to 7,841.90, 10,822 and 4,485.02 is: 6,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.90 : 10,822 = 4,485.02 : x
  2. Step 2: Convert to fraction form
    7,841.90/10,822 = 4,485.02/x
  3. Step 3: Cross multiply
    7,841.90x = 10,822 × 4,485.02
  4. Step 4: Simplify right side
    7,841.90x = 48,536,886.44
  5. Step 5: Solve for x
    x = 48,536,886.44/7,841.90
  6. Step 6: Final answer
    x = 6,189.43

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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.