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Finding the Fourth Proportional to 10,111.68, 15,176.16 and 8,072.64

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Solution

The fourth proportional to 10,111.68, 15,176.16 and 8,072.64 is: 12,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.68 : 15,176.16 = 8,072.64 : x
  2. Step 2: Convert to fraction form
    10,111.68/15,176.16 = 8,072.64/x
  3. Step 3: Cross multiply
    10,111.68x = 15,176.16 × 8,072.64
  4. Step 4: Simplify right side
    10,111.68x = 122,511,676.26
  5. Step 5: Solve for x
    x = 122,511,676.26/10,111.68
  6. Step 6: Final answer
    x = 12,115.86

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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.