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Finding the Fourth Proportional to 11,840.20, 16,338.54 and 6,535

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Solution

The fourth proportional to 11,840.20, 16,338.54 and 6,535 is: 9,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.20 : 16,338.54 = 6,535 : x
  2. Step 2: Convert to fraction form
    11,840.20/16,338.54 = 6,535/x
  3. Step 3: Cross multiply
    11,840.20x = 16,338.54 × 6,535
  4. Step 4: Simplify right side
    11,840.20x = 106,772,358.90
  5. Step 5: Solve for x
    x = 106,772,358.90/11,840.20
  6. Step 6: Final answer
    x = 9,017.78

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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.