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Finding the Fourth Proportional to 10,674.05, 14,729.94 and 6,197.69

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Solution

The fourth proportional to 10,674.05, 14,729.94 and 6,197.69 is: 8,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.05 : 14,729.94 = 6,197.69 : x
  2. Step 2: Convert to fraction form
    10,674.05/14,729.94 = 6,197.69/x
  3. Step 3: Cross multiply
    10,674.05x = 14,729.94 × 6,197.69
  4. Step 4: Simplify right side
    10,674.05x = 91,291,528.19
  5. Step 5: Solve for x
    x = 91,291,528.19/10,674.05
  6. Step 6: Final answer
    x = 8,552.66

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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.