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Finding the Fourth Proportional to 10,689.68, 16,034.02 and 7,181.17

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Solution

The fourth proportional to 10,689.68, 16,034.02 and 7,181.17 is: 10,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.68 : 16,034.02 = 7,181.17 : x
  2. Step 2: Convert to fraction form
    10,689.68/16,034.02 = 7,181.17/x
  3. Step 3: Cross multiply
    10,689.68x = 16,034.02 × 7,181.17
  4. Step 4: Simplify right side
    10,689.68x = 115,142,965.37
  5. Step 5: Solve for x
    x = 115,142,965.37/10,689.68
  6. Step 6: Final answer
    x = 10,771.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.