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Finding the Fourth Proportional to 11,775.75, 16,250.66 and 6,470.43

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Solution

The fourth proportional to 11,775.75, 16,250.66 and 6,470.43 is: 8,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.75 : 16,250.66 = 6,470.43 : x
  2. Step 2: Convert to fraction form
    11,775.75/16,250.66 = 6,470.43/x
  3. Step 3: Cross multiply
    11,775.75x = 16,250.66 × 6,470.43
  4. Step 4: Simplify right side
    11,775.75x = 105,148,757.98
  5. Step 5: Solve for x
    x = 105,148,757.98/11,775.75
  6. Step 6: Final answer
    x = 8,929.26

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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.