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Finding the Fourth Proportional to 10,524.94, 14,524.20 and 5,809.18

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Solution

The fourth proportional to 10,524.94, 14,524.20 and 5,809.18 is: 8,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.94 : 14,524.20 = 5,809.18 : x
  2. Step 2: Convert to fraction form
    10,524.94/14,524.20 = 5,809.18/x
  3. Step 3: Cross multiply
    10,524.94x = 14,524.20 × 5,809.18
  4. Step 4: Simplify right side
    10,524.94x = 84,373,692.16
  5. Step 5: Solve for x
    x = 84,373,692.16/10,524.94
  6. Step 6: Final answer
    x = 8,016.55

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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.