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Finding the Fourth Proportional to 10,163.68, 14,017.98 and 6,805.42

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Solution

The fourth proportional to 10,163.68, 14,017.98 and 6,805.42 is: 9,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.68 : 14,017.98 = 6,805.42 : x
  2. Step 2: Convert to fraction form
    10,163.68/14,017.98 = 6,805.42/x
  3. Step 3: Cross multiply
    10,163.68x = 14,017.98 × 6,805.42
  4. Step 4: Simplify right side
    10,163.68x = 95,398,241.45
  5. Step 5: Solve for x
    x = 95,398,241.45/10,163.68
  6. Step 6: Final answer
    x = 9,386.19

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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.