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Finding the Fourth Proportional to 10,729.64, 16,098.89 and 4,722.63

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Solution

The fourth proportional to 10,729.64, 16,098.89 and 4,722.63 is: 7,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.64 : 16,098.89 = 4,722.63 : x
  2. Step 2: Convert to fraction form
    10,729.64/16,098.89 = 4,722.63/x
  3. Step 3: Cross multiply
    10,729.64x = 16,098.89 × 4,722.63
  4. Step 4: Simplify right side
    10,729.64x = 76,029,077.27
  5. Step 5: Solve for x
    x = 76,029,077.27/10,729.64
  6. Step 6: Final answer
    x = 7,085.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.