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Finding the Fourth Proportional to 8,004, 12,006 and 4,932.48

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Solution

The fourth proportional to 8,004, 12,006 and 4,932.48 is: 7,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004 : 12,006 = 4,932.48 : x
  2. Step 2: Convert to fraction form
    8,004/12,006 = 4,932.48/x
  3. Step 3: Cross multiply
    8,004x = 12,006 × 4,932.48
  4. Step 4: Simplify right side
    8,004x = 59,219,354.88
  5. Step 5: Solve for x
    x = 59,219,354.88/8,004
  6. Step 6: Final answer
    x = 7,398.72

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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.