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Finding the Fourth Proportional to 11,757.70, 16,225.94 and 6,452.70

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Solution

The fourth proportional to 11,757.70, 16,225.94 and 6,452.70 is: 8,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.70 : 16,225.94 = 6,452.70 : x
  2. Step 2: Convert to fraction form
    11,757.70/16,225.94 = 6,452.70/x
  3. Step 3: Cross multiply
    11,757.70x = 16,225.94 × 6,452.70
  4. Step 4: Simplify right side
    11,757.70x = 104,701,090.77
  5. Step 5: Solve for x
    x = 104,701,090.77/11,757.70
  6. Step 6: Final answer
    x = 8,904.90

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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.