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Finding the Fourth Proportional to 11,709.56, 16,156.14 and 6,995

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Solution

The fourth proportional to 11,709.56, 16,156.14 and 6,995 is: 9,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.56 : 16,156.14 = 6,995 : x
  2. Step 2: Convert to fraction form
    11,709.56/16,156.14 = 6,995/x
  3. Step 3: Cross multiply
    11,709.56x = 16,156.14 × 6,995
  4. Step 4: Simplify right side
    11,709.56x = 113,012,199.30
  5. Step 5: Solve for x
    x = 113,012,199.30/11,709.56
  6. Step 6: Final answer
    x = 9,651.28

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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.