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Finding the Fourth Proportional to 10,525.16, 14,524.64 and 5,809.44

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Solution

The fourth proportional to 10,525.16, 14,524.64 and 5,809.44 is: 8,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.16 : 14,524.64 = 5,809.44 : x
  2. Step 2: Convert to fraction form
    10,525.16/14,524.64 = 5,809.44/x
  3. Step 3: Cross multiply
    10,525.16x = 14,524.64 × 5,809.44
  4. Step 4: Simplify right side
    10,525.16x = 84,379,922.93
  5. Step 5: Solve for x
    x = 84,379,922.93/10,525.16
  6. Step 6: Final answer
    x = 8,016.98

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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.