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Finding the Fourth Proportional to 6,192.66, 8,552.88 and 4,199.76

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Solution

The fourth proportional to 6,192.66, 8,552.88 and 4,199.76 is: 5,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.66 : 8,552.88 = 4,199.76 : x
  2. Step 2: Convert to fraction form
    6,192.66/8,552.88 = 4,199.76/x
  3. Step 3: Cross multiply
    6,192.66x = 8,552.88 × 4,199.76
  4. Step 4: Simplify right side
    6,192.66x = 35,920,043.31
  5. Step 5: Solve for x
    x = 35,920,043.31/6,192.66
  6. Step 6: Final answer
    x = 5,800.42

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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.