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Finding the Fourth Proportional to 11,757.12, 16,225.26 and 6,452.10

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Solution

The fourth proportional to 11,757.12, 16,225.26 and 6,452.10 is: 8,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.12 : 16,225.26 = 6,452.10 : x
  2. Step 2: Convert to fraction form
    11,757.12/16,225.26 = 6,452.10/x
  3. Step 3: Cross multiply
    11,757.12x = 16,225.26 × 6,452.10
  4. Step 4: Simplify right side
    11,757.12x = 104,687,000.05
  5. Step 5: Solve for x
    x = 104,687,000.05/11,757.12
  6. Step 6: Final answer
    x = 8,904.14

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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.