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Finding the Fourth Proportional to 8,071.03, 12,104.11 and 3,139.50

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Solution

The fourth proportional to 8,071.03, 12,104.11 and 3,139.50 is: 4,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.03 : 12,104.11 = 3,139.50 : x
  2. Step 2: Convert to fraction form
    8,071.03/12,104.11 = 3,139.50/x
  3. Step 3: Cross multiply
    8,071.03x = 12,104.11 × 3,139.50
  4. Step 4: Simplify right side
    8,071.03x = 38,000,853.35
  5. Step 5: Solve for x
    x = 38,000,853.35/8,071.03
  6. Step 6: Final answer
    x = 4,708.30

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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.