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Finding the Fourth Proportional to 7,818.36, 11,731.86 and 3,201

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Solution

The fourth proportional to 7,818.36, 11,731.86 and 3,201 is: 4,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.36 : 11,731.86 = 3,201 : x
  2. Step 2: Convert to fraction form
    7,818.36/11,731.86 = 3,201/x
  3. Step 3: Cross multiply
    7,818.36x = 11,731.86 × 3,201
  4. Step 4: Simplify right side
    7,818.36x = 37,553,683.86
  5. Step 5: Solve for x
    x = 37,553,683.86/7,818.36
  6. Step 6: Final answer
    x = 4,803.27

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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.