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Finding the Fourth Proportional to 11,750.69, 16,216.67 and 7,764.89

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Solution

The fourth proportional to 11,750.69, 16,216.67 and 7,764.89 is: 10,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.69 : 16,216.67 = 7,764.89 : x
  2. Step 2: Convert to fraction form
    11,750.69/16,216.67 = 7,764.89/x
  3. Step 3: Cross multiply
    11,750.69x = 16,216.67 × 7,764.89
  4. Step 4: Simplify right side
    11,750.69x = 125,920,597.05
  5. Step 5: Solve for x
    x = 125,920,597.05/11,750.69
  6. Step 6: Final answer
    x = 10,716.01

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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.