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Finding the Fourth Proportional to 10,729.24, 14,805.74 and 6,253.72

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Solution

The fourth proportional to 10,729.24, 14,805.74 and 6,253.72 is: 8,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.24 : 14,805.74 = 6,253.72 : x
  2. Step 2: Convert to fraction form
    10,729.24/14,805.74 = 6,253.72/x
  3. Step 3: Cross multiply
    10,729.24x = 14,805.74 × 6,253.72
  4. Step 4: Simplify right side
    10,729.24x = 92,590,952.35
  5. Step 5: Solve for x
    x = 92,590,952.35/10,729.24
  6. Step 6: Final answer
    x = 8,629.78

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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.