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Finding the Fourth Proportional to 7,588.77, 10,472.33 and 4,231.73

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Solution

The fourth proportional to 7,588.77, 10,472.33 and 4,231.73 is: 5,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.77 : 10,472.33 = 4,231.73 : x
  2. Step 2: Convert to fraction form
    7,588.77/10,472.33 = 4,231.73/x
  3. Step 3: Cross multiply
    7,588.77x = 10,472.33 × 4,231.73
  4. Step 4: Simplify right side
    7,588.77x = 44,315,999.51
  5. Step 5: Solve for x
    x = 44,315,999.51/7,588.77
  6. Step 6: Final answer
    x = 5,839.68

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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.