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Finding the Fourth Proportional to 12,406.29, 18,610.44 and 5,828.89

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Solution

The fourth proportional to 12,406.29, 18,610.44 and 5,828.89 is: 8,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.29 : 18,610.44 = 5,828.89 : x
  2. Step 2: Convert to fraction form
    12,406.29/18,610.44 = 5,828.89/x
  3. Step 3: Cross multiply
    12,406.29x = 18,610.44 × 5,828.89
  4. Step 4: Simplify right side
    12,406.29x = 108,478,207.61
  5. Step 5: Solve for x
    x = 108,478,207.61/12,406.29
  6. Step 6: Final answer
    x = 8,743.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.