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Finding the Fourth Proportional to 10,134.88, 13,967.04 and 8,116

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Solution

The fourth proportional to 10,134.88, 13,967.04 and 8,116 is: 11,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.88 : 13,967.04 = 8,116 : x
  2. Step 2: Convert to fraction form
    10,134.88/13,967.04 = 8,116/x
  3. Step 3: Cross multiply
    10,134.88x = 13,967.04 × 8,116
  4. Step 4: Simplify right side
    10,134.88x = 113,356,496.64
  5. Step 5: Solve for x
    x = 113,356,496.64/10,134.88
  6. Step 6: Final answer
    x = 11,184.79

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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.