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Finding the Fourth Proportional to 11,840.67, 16,323.57 and 7,860.33

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Solution

The fourth proportional to 11,840.67, 16,323.57 and 7,860.33 is: 10,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.67 : 16,323.57 = 7,860.33 : x
  2. Step 2: Convert to fraction form
    11,840.67/16,323.57 = 7,860.33/x
  3. Step 3: Cross multiply
    11,840.67x = 16,323.57 × 7,860.33
  4. Step 4: Simplify right side
    11,840.67x = 128,308,646.98
  5. Step 5: Solve for x
    x = 128,308,646.98/11,840.67
  6. Step 6: Final answer
    x = 10,836.27

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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.