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Finding the Fourth Proportional to 10,524.92, 14,527.40 and 6,221.99

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Solution

The fourth proportional to 10,524.92, 14,527.40 and 6,221.99 is: 8,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.92 : 14,527.40 = 6,221.99 : x
  2. Step 2: Convert to fraction form
    10,524.92/14,527.40 = 6,221.99/x
  3. Step 3: Cross multiply
    10,524.92x = 14,527.40 × 6,221.99
  4. Step 4: Simplify right side
    10,524.92x = 90,389,342.73
  5. Step 5: Solve for x
    x = 90,389,342.73/10,524.92
  6. Step 6: Final answer
    x = 8,588.13

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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.