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Finding the Fourth Proportional to 10,292.85, 14,193.45 and 8,805.69

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Solution

The fourth proportional to 10,292.85, 14,193.45 and 8,805.69 is: 12,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.85 : 14,193.45 = 8,805.69 : x
  2. Step 2: Convert to fraction form
    10,292.85/14,193.45 = 8,805.69/x
  3. Step 3: Cross multiply
    10,292.85x = 14,193.45 × 8,805.69
  4. Step 4: Simplify right side
    10,292.85x = 124,983,120.73
  5. Step 5: Solve for x
    x = 124,983,120.73/10,292.85
  6. Step 6: Final answer
    x = 12,142.71

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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.