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Finding the Fourth Proportional to 8,051.74, 12,077.65 and 3,666.13

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Solution

The fourth proportional to 8,051.74, 12,077.65 and 3,666.13 is: 5,499.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.74 : 12,077.65 = 3,666.13 : x
  2. Step 2: Convert to fraction form
    8,051.74/12,077.65 = 3,666.13/x
  3. Step 3: Cross multiply
    8,051.74x = 12,077.65 × 3,666.13
  4. Step 4: Simplify right side
    8,051.74x = 44,278,234.99
  5. Step 5: Solve for x
    x = 44,278,234.99/8,051.74
  6. Step 6: Final answer
    x = 5,499.21

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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.