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Finding the Fourth Proportional to 7,588.30, 10,471.48 and 4,231.48

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Solution

The fourth proportional to 7,588.30, 10,471.48 and 4,231.48 is: 5,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.30 : 10,471.48 = 4,231.48 : x
  2. Step 2: Convert to fraction form
    7,588.30/10,471.48 = 4,231.48/x
  3. Step 3: Cross multiply
    7,588.30x = 10,471.48 × 4,231.48
  4. Step 4: Simplify right side
    7,588.30x = 44,309,858.19
  5. Step 5: Solve for x
    x = 44,309,858.19/7,588.30
  6. Step 6: Final answer
    x = 5,839.23

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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.