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Finding the Fourth Proportional to 10,072.08, 15,093 and 7,871.04

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Solution

The fourth proportional to 10,072.08, 15,093 and 7,871.04 is: 11,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.08 : 15,093 = 7,871.04 : x
  2. Step 2: Convert to fraction form
    10,072.08/15,093 = 7,871.04/x
  3. Step 3: Cross multiply
    10,072.08x = 15,093 × 7,871.04
  4. Step 4: Simplify right side
    10,072.08x = 118,797,606.72
  5. Step 5: Solve for x
    x = 118,797,606.72/10,072.08
  6. Step 6: Final answer
    x = 11,794.74

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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.