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Finding the Fourth Proportional to 11,757.66, 16,225.53 and 6,452.46

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Solution

The fourth proportional to 11,757.66, 16,225.53 and 6,452.46 is: 8,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.66 : 16,225.53 = 6,452.46 : x
  2. Step 2: Convert to fraction form
    11,757.66/16,225.53 = 6,452.46/x
  3. Step 3: Cross multiply
    11,757.66x = 16,225.53 × 6,452.46
  4. Step 4: Simplify right side
    11,757.66x = 104,694,619.95
  5. Step 5: Solve for x
    x = 104,694,619.95/11,757.66
  6. Step 6: Final answer
    x = 8,904.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.