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Finding the Fourth Proportional to 11,905.13, 16,429.62 and 6,801.10

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Solution

The fourth proportional to 11,905.13, 16,429.62 and 6,801.10 is: 9,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.13 : 16,429.62 = 6,801.10 : x
  2. Step 2: Convert to fraction form
    11,905.13/16,429.62 = 6,801.10/x
  3. Step 3: Cross multiply
    11,905.13x = 16,429.62 × 6,801.10
  4. Step 4: Simplify right side
    11,905.13x = 111,739,473.01
  5. Step 5: Solve for x
    x = 111,739,473.01/11,905.13
  6. Step 6: Final answer
    x = 9,385.82

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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.