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Finding the Fourth Proportional to 11,868.73, 16,374.25 and 7,618.66

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Solution

The fourth proportional to 11,868.73, 16,374.25 and 7,618.66 is: 10,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.73 : 16,374.25 = 7,618.66 : x
  2. Step 2: Convert to fraction form
    11,868.73/16,374.25 = 7,618.66/x
  3. Step 3: Cross multiply
    11,868.73x = 16,374.25 × 7,618.66
  4. Step 4: Simplify right side
    11,868.73x = 124,749,812.09
  5. Step 5: Solve for x
    x = 124,749,812.09/11,868.73
  6. Step 6: Final answer
    x = 10,510.80

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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.