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Finding the Fourth Proportional to 10,524.83, 14,524.21 and 5,809.40

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Solution

The fourth proportional to 10,524.83, 14,524.21 and 5,809.40 is: 8,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.83 : 14,524.21 = 5,809.40 : x
  2. Step 2: Convert to fraction form
    10,524.83/14,524.21 = 5,809.40/x
  3. Step 3: Cross multiply
    10,524.83x = 14,524.21 × 5,809.40
  4. Step 4: Simplify right side
    10,524.83x = 84,376,945.57
  5. Step 5: Solve for x
    x = 84,376,945.57/10,524.83
  6. Step 6: Final answer
    x = 8,016.94

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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.