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Finding the Fourth Proportional to 10,524.34, 14,523.52 and 5,808.62

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Solution

The fourth proportional to 10,524.34, 14,523.52 and 5,808.62 is: 8,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.34 : 14,523.52 = 5,808.62 : x
  2. Step 2: Convert to fraction form
    10,524.34/14,523.52 = 5,808.62/x
  3. Step 3: Cross multiply
    10,524.34x = 14,523.52 × 5,808.62
  4. Step 4: Simplify right side
    10,524.34x = 84,361,579.70
  5. Step 5: Solve for x
    x = 84,361,579.70/10,524.34
  6. Step 6: Final answer
    x = 8,015.86

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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.