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Finding the Fourth Proportional to 8,426.49, 11,627.76 and 8,143.39

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Solution

The fourth proportional to 8,426.49, 11,627.76 and 8,143.39 is: 11,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.49 : 11,627.76 = 8,143.39 : x
  2. Step 2: Convert to fraction form
    8,426.49/11,627.76 = 8,143.39/x
  3. Step 3: Cross multiply
    8,426.49x = 11,627.76 × 8,143.39
  4. Step 4: Simplify right side
    8,426.49x = 94,689,384.51
  5. Step 5: Solve for x
    x = 94,689,384.51/8,426.49
  6. Step 6: Final answer
    x = 11,237.11

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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.