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Finding the Fourth Proportional to 8,034.04, 12,063.30 and 7,638.04

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Solution

The fourth proportional to 8,034.04, 12,063.30 and 7,638.04 is: 11,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.04 : 12,063.30 = 7,638.04 : x
  2. Step 2: Convert to fraction form
    8,034.04/12,063.30 = 7,638.04/x
  3. Step 3: Cross multiply
    8,034.04x = 12,063.30 × 7,638.04
  4. Step 4: Simplify right side
    8,034.04x = 92,139,967.93
  5. Step 5: Solve for x
    x = 92,139,967.93/8,034.04
  6. Step 6: Final answer
    x = 11,468.70

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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.