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Finding the Fourth Proportional to 7,049.92, 10,553.28 and 6,309.76

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Solution

The fourth proportional to 7,049.92, 10,553.28 and 6,309.76 is: 9,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.92 : 10,553.28 = 6,309.76 : x
  2. Step 2: Convert to fraction form
    7,049.92/10,553.28 = 6,309.76/x
  3. Step 3: Cross multiply
    7,049.92x = 10,553.28 × 6,309.76
  4. Step 4: Simplify right side
    7,049.92x = 66,588,664.01
  5. Step 5: Solve for x
    x = 66,588,664.01/7,049.92
  6. Step 6: Final answer
    x = 9,445.31

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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.