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Finding the Fourth Proportional to 8,136.34, 12,204.51 and 2,941.00

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Solution

The fourth proportional to 8,136.34, 12,204.51 and 2,941.00 is: 4,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.34 : 12,204.51 = 2,941.00 : x
  2. Step 2: Convert to fraction form
    8,136.34/12,204.51 = 2,941.00/x
  3. Step 3: Cross multiply
    8,136.34x = 12,204.51 × 2,941.00
  4. Step 4: Simplify right side
    8,136.34x = 35,893,422.37
  5. Step 5: Solve for x
    x = 35,893,422.37/8,136.34
  6. Step 6: Final answer
    x = 4,411.50

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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.