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Finding the Fourth Proportional to 10,524.72, 14,524.04 and 5,809.00

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Solution

The fourth proportional to 10,524.72, 14,524.04 and 5,809.00 is: 8,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.72 : 14,524.04 = 5,809.00 : x
  2. Step 2: Convert to fraction form
    10,524.72/14,524.04 = 5,809.00/x
  3. Step 3: Cross multiply
    10,524.72x = 14,524.04 × 5,809.00
  4. Step 4: Simplify right side
    10,524.72x = 84,370,046.69
  5. Step 5: Solve for x
    x = 84,370,046.69/10,524.72
  6. Step 6: Final answer
    x = 8,016.37

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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.