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Finding the Fourth Proportional to 8,066.18, 12,083.07 and 3,677.60

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Solution

The fourth proportional to 8,066.18, 12,083.07 and 3,677.60 is: 5,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.18 : 12,083.07 = 3,677.60 : x
  2. Step 2: Convert to fraction form
    8,066.18/12,083.07 = 3,677.60/x
  3. Step 3: Cross multiply
    8,066.18x = 12,083.07 × 3,677.60
  4. Step 4: Simplify right side
    8,066.18x = 44,436,742.23
  5. Step 5: Solve for x
    x = 44,436,742.23/8,066.18
  6. Step 6: Final answer
    x = 5,509.02

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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.