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Finding the Fourth Proportional to 7,236.50, 10,856.16 and 3,076.46

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Solution

The fourth proportional to 7,236.50, 10,856.16 and 3,076.46 is: 4,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236.50 : 10,856.16 = 3,076.46 : x
  2. Step 2: Convert to fraction form
    7,236.50/10,856.16 = 3,076.46/x
  3. Step 3: Cross multiply
    7,236.50x = 10,856.16 × 3,076.46
  4. Step 4: Simplify right side
    7,236.50x = 33,398,541.99
  5. Step 5: Solve for x
    x = 33,398,541.99/7,236.50
  6. Step 6: Final answer
    x = 4,615.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.