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Finding the Fourth Proportional to 8,117.96, 12,176.94 and 2,274.74

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Solution

The fourth proportional to 8,117.96, 12,176.94 and 2,274.74 is: 3,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.96 : 12,176.94 = 2,274.74 : x
  2. Step 2: Convert to fraction form
    8,117.96/12,176.94 = 2,274.74/x
  3. Step 3: Cross multiply
    8,117.96x = 12,176.94 × 2,274.74
  4. Step 4: Simplify right side
    8,117.96x = 27,699,372.50
  5. Step 5: Solve for x
    x = 27,699,372.50/8,117.96
  6. Step 6: Final answer
    x = 3,412.11

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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.