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Finding the Fourth Proportional to 8,119.61, 12,176.94 and 4,221.89

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Solution

The fourth proportional to 8,119.61, 12,176.94 and 4,221.89 is: 6,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.61 : 12,176.94 = 4,221.89 : x
  2. Step 2: Convert to fraction form
    8,119.61/12,176.94 = 4,221.89/x
  3. Step 3: Cross multiply
    8,119.61x = 12,176.94 × 4,221.89
  4. Step 4: Simplify right side
    8,119.61x = 51,409,701.22
  5. Step 5: Solve for x
    x = 51,409,701.22/8,119.61
  6. Step 6: Final answer
    x = 6,331.55

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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.