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Finding the Fourth Proportional to 8,178.21, 12,267.32 and 2,334.81

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Solution

The fourth proportional to 8,178.21, 12,267.32 and 2,334.81 is: 3,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.21 : 12,267.32 = 2,334.81 : x
  2. Step 2: Convert to fraction form
    8,178.21/12,267.32 = 2,334.81/x
  3. Step 3: Cross multiply
    8,178.21x = 12,267.32 × 2,334.81
  4. Step 4: Simplify right side
    8,178.21x = 28,641,849.74
  5. Step 5: Solve for x
    x = 28,641,849.74/8,178.21
  6. Step 6: Final answer
    x = 3,502.22

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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.