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Finding the Fourth Proportional to 7,845, 10,825.40 and 4,487.26

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Solution

The fourth proportional to 7,845, 10,825.40 and 4,487.26 is: 6,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845 : 10,825.40 = 4,487.26 : x
  2. Step 2: Convert to fraction form
    7,845/10,825.40 = 4,487.26/x
  3. Step 3: Cross multiply
    7,845x = 10,825.40 × 4,487.26
  4. Step 4: Simplify right side
    7,845x = 48,576,384.40
  5. Step 5: Solve for x
    x = 48,576,384.40/7,845
  6. Step 6: Final answer
    x = 6,192.02

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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.