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Finding the Fourth Proportional to 11,324.80, 15,628.02 and 6,288.76

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Solution

The fourth proportional to 11,324.80, 15,628.02 and 6,288.76 is: 8,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.80 : 15,628.02 = 6,288.76 : x
  2. Step 2: Convert to fraction form
    11,324.80/15,628.02 = 6,288.76/x
  3. Step 3: Cross multiply
    11,324.80x = 15,628.02 × 6,288.76
  4. Step 4: Simplify right side
    11,324.80x = 98,280,867.06
  5. Step 5: Solve for x
    x = 98,280,867.06/11,324.80
  6. Step 6: Final answer
    x = 8,678.38

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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.