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Finding the Fourth Proportional to 8,221.61, 12,334.34 and 2,378.07

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Solution

The fourth proportional to 8,221.61, 12,334.34 and 2,378.07 is: 3,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.61 : 12,334.34 = 2,378.07 : x
  2. Step 2: Convert to fraction form
    8,221.61/12,334.34 = 2,378.07/x
  3. Step 3: Cross multiply
    8,221.61x = 12,334.34 × 2,378.07
  4. Step 4: Simplify right side
    8,221.61x = 29,331,929.87
  5. Step 5: Solve for x
    x = 29,331,929.87/8,221.61
  6. Step 6: Final answer
    x = 3,567.66

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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.