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Finding the Fourth Proportional to 11,782.75, 16,260.29 and 6,477.45

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Solution

The fourth proportional to 11,782.75, 16,260.29 and 6,477.45 is: 8,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.75 : 16,260.29 = 6,477.45 : x
  2. Step 2: Convert to fraction form
    11,782.75/16,260.29 = 6,477.45/x
  3. Step 3: Cross multiply
    11,782.75x = 16,260.29 × 6,477.45
  4. Step 4: Simplify right side
    11,782.75x = 105,325,231.65
  5. Step 5: Solve for x
    x = 105,325,231.65/11,782.75
  6. Step 6: Final answer
    x = 8,938.94

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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.