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Finding the Fourth Proportional to 7,673.64, 10,589.46 and 4,270.58

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Solution

The fourth proportional to 7,673.64, 10,589.46 and 4,270.58 is: 5,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.64 : 10,589.46 = 4,270.58 : x
  2. Step 2: Convert to fraction form
    7,673.64/10,589.46 = 4,270.58/x
  3. Step 3: Cross multiply
    7,673.64x = 10,589.46 × 4,270.58
  4. Step 4: Simplify right side
    7,673.64x = 45,223,136.09
  5. Step 5: Solve for x
    x = 45,223,136.09/7,673.64
  6. Step 6: Final answer
    x = 5,893.31

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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.