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Finding the Fourth Proportional to 8,472.64, 11,693.28 and 4,936.08

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Solution

The fourth proportional to 8,472.64, 11,693.28 and 4,936.08 is: 6,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.64 : 11,693.28 = 4,936.08 : x
  2. Step 2: Convert to fraction form
    8,472.64/11,693.28 = 4,936.08/x
  3. Step 3: Cross multiply
    8,472.64x = 11,693.28 × 4,936.08
  4. Step 4: Simplify right side
    8,472.64x = 57,718,984.05
  5. Step 5: Solve for x
    x = 57,718,984.05/8,472.64
  6. Step 6: Final answer
    x = 6,812.40

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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.