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Finding the Fourth Proportional to 8,160, 12,240.24 and 2,004

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Solution

The fourth proportional to 8,160, 12,240.24 and 2,004 is: 3,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160 : 12,240.24 = 2,004 : x
  2. Step 2: Convert to fraction form
    8,160/12,240.24 = 2,004/x
  3. Step 3: Cross multiply
    8,160x = 12,240.24 × 2,004
  4. Step 4: Simplify right side
    8,160x = 24,529,440.96
  5. Step 5: Solve for x
    x = 24,529,440.96/8,160
  6. Step 6: Final answer
    x = 3,006.06

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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.