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Finding the Fourth Proportional to 11,634.76, 16,050.82 and 7,755.06

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Solution

The fourth proportional to 11,634.76, 16,050.82 and 7,755.06 is: 10,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.76 : 16,050.82 = 7,755.06 : x
  2. Step 2: Convert to fraction form
    11,634.76/16,050.82 = 7,755.06/x
  3. Step 3: Cross multiply
    11,634.76x = 16,050.82 × 7,755.06
  4. Step 4: Simplify right side
    11,634.76x = 124,475,072.15
  5. Step 5: Solve for x
    x = 124,475,072.15/11,634.76
  6. Step 6: Final answer
    x = 10,698.55

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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.