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Finding the Fourth Proportional to 8,363.12, 11,541 and 4,637.12

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Solution

The fourth proportional to 8,363.12, 11,541 and 4,637.12 is: 6,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.12 : 11,541 = 4,637.12 : x
  2. Step 2: Convert to fraction form
    8,363.12/11,541 = 4,637.12/x
  3. Step 3: Cross multiply
    8,363.12x = 11,541 × 4,637.12
  4. Step 4: Simplify right side
    8,363.12x = 53,517,001.92
  5. Step 5: Solve for x
    x = 53,517,001.92/8,363.12
  6. Step 6: Final answer
    x = 6,399.17

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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.