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Finding the Fourth Proportional to 8,664.40, 13,006.20 and 8,100.40

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Solution

The fourth proportional to 8,664.40, 13,006.20 and 8,100.40 is: 12,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.40 : 13,006.20 = 8,100.40 : x
  2. Step 2: Convert to fraction form
    8,664.40/13,006.20 = 8,100.40/x
  3. Step 3: Cross multiply
    8,664.40x = 13,006.20 × 8,100.40
  4. Step 4: Simplify right side
    8,664.40x = 105,355,422.48
  5. Step 5: Solve for x
    x = 105,355,422.48/8,664.40
  6. Step 6: Final answer
    x = 12,159.58

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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.