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Finding the Fourth Proportional to 8,161.98, 11,262.66 and 4,804.59

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Solution

The fourth proportional to 8,161.98, 11,262.66 and 4,804.59 is: 6,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.98 : 11,262.66 = 4,804.59 : x
  2. Step 2: Convert to fraction form
    8,161.98/11,262.66 = 4,804.59/x
  3. Step 3: Cross multiply
    8,161.98x = 11,262.66 × 4,804.59
  4. Step 4: Simplify right side
    8,161.98x = 54,112,463.61
  5. Step 5: Solve for x
    x = 54,112,463.61/8,161.98
  6. Step 6: Final answer
    x = 6,629.82

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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.