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Finding the Fourth Proportional to 11,823.72, 16,317.54 and 6,855.72

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Solution

The fourth proportional to 11,823.72, 16,317.54 and 6,855.72 is: 9,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.72 : 16,317.54 = 6,855.72 : x
  2. Step 2: Convert to fraction form
    11,823.72/16,317.54 = 6,855.72/x
  3. Step 3: Cross multiply
    11,823.72x = 16,317.54 × 6,855.72
  4. Step 4: Simplify right side
    11,823.72x = 111,868,485.33
  5. Step 5: Solve for x
    x = 111,868,485.33/11,823.72
  6. Step 6: Final answer
    x = 9,461.36

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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.