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Finding the Fourth Proportional to 7,883.56, 10,880.16 and 5,230

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Solution

The fourth proportional to 7,883.56, 10,880.16 and 5,230 is: 7,217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.56 : 10,880.16 = 5,230 : x
  2. Step 2: Convert to fraction form
    7,883.56/10,880.16 = 5,230/x
  3. Step 3: Cross multiply
    7,883.56x = 10,880.16 × 5,230
  4. Step 4: Simplify right side
    7,883.56x = 56,903,236.80
  5. Step 5: Solve for x
    x = 56,903,236.80/7,883.56
  6. Step 6: Final answer
    x = 7,217.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.