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Finding the Fourth Proportional to 11,840.83, 16,346.25 and 7,366.02

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Solution

The fourth proportional to 11,840.83, 16,346.25 and 7,366.02 is: 10,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.83 : 16,346.25 = 7,366.02 : x
  2. Step 2: Convert to fraction form
    11,840.83/16,346.25 = 7,366.02/x
  3. Step 3: Cross multiply
    11,840.83x = 16,346.25 × 7,366.02
  4. Step 4: Simplify right side
    11,840.83x = 120,406,804.43
  5. Step 5: Solve for x
    x = 120,406,804.43/11,840.83
  6. Step 6: Final answer
    x = 10,168.78

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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.