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Finding the Fourth Proportional to 6,156.92, 8,493.84 and 4,166.78

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Solution

The fourth proportional to 6,156.92, 8,493.84 and 4,166.78 is: 5,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.92 : 8,493.84 = 4,166.78 : x
  2. Step 2: Convert to fraction form
    6,156.92/8,493.84 = 4,166.78/x
  3. Step 3: Cross multiply
    6,156.92x = 8,493.84 × 4,166.78
  4. Step 4: Simplify right side
    6,156.92x = 35,391,962.64
  5. Step 5: Solve for x
    x = 35,391,962.64/6,156.92
  6. Step 6: Final answer
    x = 5,748.32

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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.