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Finding the Fourth Proportional to 6,883.92, 10,312.92 and 3,423.60

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Solution

The fourth proportional to 6,883.92, 10,312.92 and 3,423.60 is: 5,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.92 : 10,312.92 = 3,423.60 : x
  2. Step 2: Convert to fraction form
    6,883.92/10,312.92 = 3,423.60/x
  3. Step 3: Cross multiply
    6,883.92x = 10,312.92 × 3,423.60
  4. Step 4: Simplify right side
    6,883.92x = 35,307,312.91
  5. Step 5: Solve for x
    x = 35,307,312.91/6,883.92
  6. Step 6: Final answer
    x = 5,128.95

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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.