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Finding the Fourth Proportional to 10,838.34, 16,257.60 and 3,047.22

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Solution

The fourth proportional to 10,838.34, 16,257.60 and 3,047.22 is: 4,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.34 : 16,257.60 = 3,047.22 : x
  2. Step 2: Convert to fraction form
    10,838.34/16,257.60 = 3,047.22/x
  3. Step 3: Cross multiply
    10,838.34x = 16,257.60 × 3,047.22
  4. Step 4: Simplify right side
    10,838.34x = 49,540,483.87
  5. Step 5: Solve for x
    x = 49,540,483.87/10,838.34
  6. Step 6: Final answer
    x = 4,570.86

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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.