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Finding the Fourth Proportional to 10,885.25, 15,021.65 and 6,169.57

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Solution

The fourth proportional to 10,885.25, 15,021.65 and 6,169.57 is: 8,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.25 : 15,021.65 = 6,169.57 : x
  2. Step 2: Convert to fraction form
    10,885.25/15,021.65 = 6,169.57/x
  3. Step 3: Cross multiply
    10,885.25x = 15,021.65 × 6,169.57
  4. Step 4: Simplify right side
    10,885.25x = 92,677,099.06
  5. Step 5: Solve for x
    x = 92,677,099.06/10,885.25
  6. Step 6: Final answer
    x = 8,514.01

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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.