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Finding the Fourth Proportional to 10,634.15, 14,674.88 and 5,918.87

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Solution

The fourth proportional to 10,634.15, 14,674.88 and 5,918.87 is: 8,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.15 : 14,674.88 = 5,918.87 : x
  2. Step 2: Convert to fraction form
    10,634.15/14,674.88 = 5,918.87/x
  3. Step 3: Cross multiply
    10,634.15x = 14,674.88 × 5,918.87
  4. Step 4: Simplify right side
    10,634.15x = 86,858,604.02
  5. Step 5: Solve for x
    x = 86,858,604.02/10,634.15
  6. Step 6: Final answer
    x = 8,167.90

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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.