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Finding the Fourth Proportional to 10,722.21, 14,800.71 and 6,247.41

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Solution

The fourth proportional to 10,722.21, 14,800.71 and 6,247.41 is: 8,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.21 : 14,800.71 = 6,247.41 : x
  2. Step 2: Convert to fraction form
    10,722.21/14,800.71 = 6,247.41/x
  3. Step 3: Cross multiply
    10,722.21x = 14,800.71 × 6,247.41
  4. Step 4: Simplify right side
    10,722.21x = 92,466,071.59
  5. Step 5: Solve for x
    x = 92,466,071.59/10,722.21
  6. Step 6: Final answer
    x = 8,623.79

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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.