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Finding the Fourth Proportional to 11,709.42, 16,159.13 and 6,404.12

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Solution

The fourth proportional to 11,709.42, 16,159.13 and 6,404.12 is: 8,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.42 : 16,159.13 = 6,404.12 : x
  2. Step 2: Convert to fraction form
    11,709.42/16,159.13 = 6,404.12/x
  3. Step 3: Cross multiply
    11,709.42x = 16,159.13 × 6,404.12
  4. Step 4: Simplify right side
    11,709.42x = 103,485,015.99
  5. Step 5: Solve for x
    x = 103,485,015.99/11,709.42
  6. Step 6: Final answer
    x = 8,837.76

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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.