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Finding the Fourth Proportional to 10,520.34, 14,517.84 and 5,805.06

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Solution

The fourth proportional to 10,520.34, 14,517.84 and 5,805.06 is: 8,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.34 : 14,517.84 = 5,805.06 : x
  2. Step 2: Convert to fraction form
    10,520.34/14,517.84 = 5,805.06/x
  3. Step 3: Cross multiply
    10,520.34x = 14,517.84 × 5,805.06
  4. Step 4: Simplify right side
    10,520.34x = 84,276,932.27
  5. Step 5: Solve for x
    x = 84,276,932.27/10,520.34
  6. Step 6: Final answer
    x = 8,010.86

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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.