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Finding the Fourth Proportional to 11,839.61, 16,338.54 and 6,534.31

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Solution

The fourth proportional to 11,839.61, 16,338.54 and 6,534.31 is: 9,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.61 : 16,338.54 = 6,534.31 : x
  2. Step 2: Convert to fraction form
    11,839.61/16,338.54 = 6,534.31/x
  3. Step 3: Cross multiply
    11,839.61x = 16,338.54 × 6,534.31
  4. Step 4: Simplify right side
    11,839.61x = 106,761,068.96
  5. Step 5: Solve for x
    x = 106,761,068.96/11,839.61
  6. Step 6: Final answer
    x = 9,017.28

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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.