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Finding the Fourth Proportional to 8,137.40, 12,182.06 and 6,066.50

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Solution

The fourth proportional to 8,137.40, 12,182.06 and 6,066.50 is: 9,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.40 : 12,182.06 = 6,066.50 : x
  2. Step 2: Convert to fraction form
    8,137.40/12,182.06 = 6,066.50/x
  3. Step 3: Cross multiply
    8,137.40x = 12,182.06 × 6,066.50
  4. Step 4: Simplify right side
    8,137.40x = 73,902,421.25
  5. Step 5: Solve for x
    x = 73,902,421.25/8,137.40
  6. Step 6: Final answer
    x = 9,081.83

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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.