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Finding the Fourth Proportional to 7,843.90, 10,824.76 and 4,487.02

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Solution

The fourth proportional to 7,843.90, 10,824.76 and 4,487.02 is: 6,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.90 : 10,824.76 = 4,487.02 : x
  2. Step 2: Convert to fraction form
    7,843.90/10,824.76 = 4,487.02/x
  3. Step 3: Cross multiply
    7,843.90x = 10,824.76 × 4,487.02
  4. Step 4: Simplify right side
    7,843.90x = 48,570,914.62
  5. Step 5: Solve for x
    x = 48,570,914.62/7,843.90
  6. Step 6: Final answer
    x = 6,192.19

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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.