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Finding the Fourth Proportional to 11,840.05, 16,338.94 and 6,534.53

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Solution

The fourth proportional to 11,840.05, 16,338.94 and 6,534.53 is: 9,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.05 : 16,338.94 = 6,534.53 : x
  2. Step 2: Convert to fraction form
    11,840.05/16,338.94 = 6,534.53/x
  3. Step 3: Cross multiply
    11,840.05x = 16,338.94 × 6,534.53
  4. Step 4: Simplify right side
    11,840.05x = 106,767,293.60
  5. Step 5: Solve for x
    x = 106,767,293.60/11,840.05
  6. Step 6: Final answer
    x = 9,017.47

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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.