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Finding the Fourth Proportional to 10,524.98, 14,524.43 and 5,809.29

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Solution

The fourth proportional to 10,524.98, 14,524.43 and 5,809.29 is: 8,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.98 : 14,524.43 = 5,809.29 : x
  2. Step 2: Convert to fraction form
    10,524.98/14,524.43 = 5,809.29/x
  3. Step 3: Cross multiply
    10,524.98x = 14,524.43 × 5,809.29
  4. Step 4: Simplify right side
    10,524.98x = 84,376,596.91
  5. Step 5: Solve for x
    x = 84,376,596.91/10,524.98
  6. Step 6: Final answer
    x = 8,016.80

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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.