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Finding the Fourth Proportional to 8,324.28, 11,464.16 and 8,298.32

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Solution

The fourth proportional to 8,324.28, 11,464.16 and 8,298.32 is: 11,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.28 : 11,464.16 = 8,298.32 : x
  2. Step 2: Convert to fraction form
    8,324.28/11,464.16 = 8,298.32/x
  3. Step 3: Cross multiply
    8,324.28x = 11,464.16 × 8,298.32
  4. Step 4: Simplify right side
    8,324.28x = 95,133,169.40
  5. Step 5: Solve for x
    x = 95,133,169.40/8,324.28
  6. Step 6: Final answer
    x = 11,428.40

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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.