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Finding the Fourth Proportional to 8,493.80, 11,725.43 and 5,665.95

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Solution

The fourth proportional to 8,493.80, 11,725.43 and 5,665.95 is: 7,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.80 : 11,725.43 = 5,665.95 : x
  2. Step 2: Convert to fraction form
    8,493.80/11,725.43 = 5,665.95/x
  3. Step 3: Cross multiply
    8,493.80x = 11,725.43 × 5,665.95
  4. Step 4: Simplify right side
    8,493.80x = 66,435,671.78
  5. Step 5: Solve for x
    x = 66,435,671.78/8,493.80
  6. Step 6: Final answer
    x = 7,821.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.