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Finding the Fourth Proportional to 11,775.07, 16,256.73 and 7,799.59

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Solution

The fourth proportional to 11,775.07, 16,256.73 and 7,799.59 is: 10,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.07 : 16,256.73 = 7,799.59 : x
  2. Step 2: Convert to fraction form
    11,775.07/16,256.73 = 7,799.59/x
  3. Step 3: Cross multiply
    11,775.07x = 16,256.73 × 7,799.59
  4. Step 4: Simplify right side
    11,775.07x = 126,795,828.74
  5. Step 5: Solve for x
    x = 126,795,828.74/11,775.07
  6. Step 6: Final answer
    x = 10,768.16

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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.