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Finding the Fourth Proportional to 8,208.39, 12,312.77 and 2,661.74

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Solution

The fourth proportional to 8,208.39, 12,312.77 and 2,661.74 is: 3,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.39 : 12,312.77 = 2,661.74 : x
  2. Step 2: Convert to fraction form
    8,208.39/12,312.77 = 2,661.74/x
  3. Step 3: Cross multiply
    8,208.39x = 12,312.77 × 2,661.74
  4. Step 4: Simplify right side
    8,208.39x = 32,773,363.72
  5. Step 5: Solve for x
    x = 32,773,363.72/8,208.39
  6. Step 6: Final answer
    x = 3,992.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.