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Finding the Fourth Proportional to 10,517.12, 14,514.64 and 7,859.90

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Solution

The fourth proportional to 10,517.12, 14,514.64 and 7,859.90 is: 10,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.12 : 14,514.64 = 7,859.90 : x
  2. Step 2: Convert to fraction form
    10,517.12/14,514.64 = 7,859.90/x
  3. Step 3: Cross multiply
    10,517.12x = 14,514.64 × 7,859.90
  4. Step 4: Simplify right side
    10,517.12x = 114,083,618.94
  5. Step 5: Solve for x
    x = 114,083,618.94/10,517.12
  6. Step 6: Final answer
    x = 10,847.42

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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.