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Finding the Fourth Proportional to 8,637.50, 12,964.36 and 3,960.02

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Solution

The fourth proportional to 8,637.50, 12,964.36 and 3,960.02 is: 5,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637.50 : 12,964.36 = 3,960.02 : x
  2. Step 2: Convert to fraction form
    8,637.50/12,964.36 = 3,960.02/x
  3. Step 3: Cross multiply
    8,637.50x = 12,964.36 × 3,960.02
  4. Step 4: Simplify right side
    8,637.50x = 51,339,124.89
  5. Step 5: Solve for x
    x = 51,339,124.89/8,637.50
  6. Step 6: Final answer
    x = 5,943.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.