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Finding the Fourth Proportional to 10,164.68, 14,026.75 and 5,688.44

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Solution

The fourth proportional to 10,164.68, 14,026.75 and 5,688.44 is: 7,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.68 : 14,026.75 = 5,688.44 : x
  2. Step 2: Convert to fraction form
    10,164.68/14,026.75 = 5,688.44/x
  3. Step 3: Cross multiply
    10,164.68x = 14,026.75 × 5,688.44
  4. Step 4: Simplify right side
    10,164.68x = 79,790,241.42
  5. Step 5: Solve for x
    x = 79,790,241.42/10,164.68
  6. Step 6: Final answer
    x = 7,849.76

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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.