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Finding the Fourth Proportional to 6,734.64, 10,099.80 and 2,838

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Solution

The fourth proportional to 6,734.64, 10,099.80 and 2,838 is: 4,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.64 : 10,099.80 = 2,838 : x
  2. Step 2: Convert to fraction form
    6,734.64/10,099.80 = 2,838/x
  3. Step 3: Cross multiply
    6,734.64x = 10,099.80 × 2,838
  4. Step 4: Simplify right side
    6,734.64x = 28,663,232.40
  5. Step 5: Solve for x
    x = 28,663,232.40/6,734.64
  6. Step 6: Final answer
    x = 4,256.09

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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.