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Finding the Fourth Proportional to 8,363.50, 11,541.66 and 4,637.50

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Solution

The fourth proportional to 8,363.50, 11,541.66 and 4,637.50 is: 6,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.50 : 11,541.66 = 4,637.50 : x
  2. Step 2: Convert to fraction form
    8,363.50/11,541.66 = 4,637.50/x
  3. Step 3: Cross multiply
    8,363.50x = 11,541.66 × 4,637.50
  4. Step 4: Simplify right side
    8,363.50x = 53,524,448.25
  5. Step 5: Solve for x
    x = 53,524,448.25/8,363.50
  6. Step 6: Final answer
    x = 6,399.77

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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.