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Finding the Fourth Proportional to 11,910, 16,435.96 and 6,532.90

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Solution

The fourth proportional to 11,910, 16,435.96 and 6,532.90 is: 9,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910 : 16,435.96 = 6,532.90 : x
  2. Step 2: Convert to fraction form
    11,910/16,435.96 = 6,532.90/x
  3. Step 3: Cross multiply
    11,910x = 16,435.96 × 6,532.90
  4. Step 4: Simplify right side
    11,910x = 107,374,483.08
  5. Step 5: Solve for x
    x = 107,374,483.08/11,910
  6. Step 6: Final answer
    x = 9,015.49

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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.