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Finding the Fourth Proportional to 6,731.64, 10,084.05 and 4,095.90

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Solution

The fourth proportional to 6,731.64, 10,084.05 and 4,095.90 is: 6,135.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.64 : 10,084.05 = 4,095.90 : x
  2. Step 2: Convert to fraction form
    6,731.64/10,084.05 = 4,095.90/x
  3. Step 3: Cross multiply
    6,731.64x = 10,084.05 × 4,095.90
  4. Step 4: Simplify right side
    6,731.64x = 41,303,260.40
  5. Step 5: Solve for x
    x = 41,303,260.40/6,731.64
  6. Step 6: Final answer
    x = 6,135.69

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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.