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Finding the Fourth Proportional to 8,174.80, 12,274.51 and 4,668.77

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Solution

The fourth proportional to 8,174.80, 12,274.51 and 4,668.77 is: 7,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.80 : 12,274.51 = 4,668.77 : x
  2. Step 2: Convert to fraction form
    8,174.80/12,274.51 = 4,668.77/x
  3. Step 3: Cross multiply
    8,174.80x = 12,274.51 × 4,668.77
  4. Step 4: Simplify right side
    8,174.80x = 57,306,864.05
  5. Step 5: Solve for x
    x = 57,306,864.05/8,174.80
  6. Step 6: Final answer
    x = 7,010.19

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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.