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Finding the Fourth Proportional to 11,913, 16,440.10 and 6,535.90

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Solution

The fourth proportional to 11,913, 16,440.10 and 6,535.90 is: 9,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913 : 16,440.10 = 6,535.90 : x
  2. Step 2: Convert to fraction form
    11,913/16,440.10 = 6,535.90/x
  3. Step 3: Cross multiply
    11,913x = 16,440.10 × 6,535.90
  4. Step 4: Simplify right side
    11,913x = 107,450,849.59
  5. Step 5: Solve for x
    x = 107,450,849.59/11,913
  6. Step 6: Final answer
    x = 9,019.63

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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.