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Finding the Fourth Proportional to 8,145.74, 12,218.55 and 2,302.32

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Solution

The fourth proportional to 8,145.74, 12,218.55 and 2,302.32 is: 3,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.74 : 12,218.55 = 2,302.32 : x
  2. Step 2: Convert to fraction form
    8,145.74/12,218.55 = 2,302.32/x
  3. Step 3: Cross multiply
    8,145.74x = 12,218.55 × 2,302.32
  4. Step 4: Simplify right side
    8,145.74x = 28,131,012.04
  5. Step 5: Solve for x
    x = 28,131,012.04/8,145.74
  6. Step 6: Final answer
    x = 3,453.47

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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.