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Finding the Fourth Proportional to 11,775.57, 16,250.38 and 6,470.48

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Solution

The fourth proportional to 11,775.57, 16,250.38 and 6,470.48 is: 8,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.57 : 16,250.38 = 6,470.48 : x
  2. Step 2: Convert to fraction form
    11,775.57/16,250.38 = 6,470.48/x
  3. Step 3: Cross multiply
    11,775.57x = 16,250.38 × 6,470.48
  4. Step 4: Simplify right side
    11,775.57x = 105,147,661.35
  5. Step 5: Solve for x
    x = 105,147,661.35/11,775.57
  6. Step 6: Final answer
    x = 8,929.31

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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.