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Finding the Fourth Proportional to 10,524.50, 14,523.62 and 5,808.68

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Solution

The fourth proportional to 10,524.50, 14,523.62 and 5,808.68 is: 8,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.50 : 14,523.62 = 5,808.68 : x
  2. Step 2: Convert to fraction form
    10,524.50/14,523.62 = 5,808.68/x
  3. Step 3: Cross multiply
    10,524.50x = 14,523.62 × 5,808.68
  4. Step 4: Simplify right side
    10,524.50x = 84,363,061.02
  5. Step 5: Solve for x
    x = 84,363,061.02/10,524.50
  6. Step 6: Final answer
    x = 8,015.87

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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.