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Finding the Fourth Proportional to 8,643.95, 12,966.83 and 3,963.15

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Solution

The fourth proportional to 8,643.95, 12,966.83 and 3,963.15 is: 5,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.95 : 12,966.83 = 3,963.15 : x
  2. Step 2: Convert to fraction form
    8,643.95/12,966.83 = 3,963.15/x
  3. Step 3: Cross multiply
    8,643.95x = 12,966.83 × 3,963.15
  4. Step 4: Simplify right side
    8,643.95x = 51,389,472.50
  5. Step 5: Solve for x
    x = 51,389,472.50/8,643.95
  6. Step 6: Final answer
    x = 5,945.14

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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.