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Finding the Fourth Proportional to 6,278.66, 8,666.11 and 3,627.60

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Solution

The fourth proportional to 6,278.66, 8,666.11 and 3,627.60 is: 5,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.66 : 8,666.11 = 3,627.60 : x
  2. Step 2: Convert to fraction form
    6,278.66/8,666.11 = 3,627.60/x
  3. Step 3: Cross multiply
    6,278.66x = 8,666.11 × 3,627.60
  4. Step 4: Simplify right side
    6,278.66x = 31,437,180.64
  5. Step 5: Solve for x
    x = 31,437,180.64/6,278.66
  6. Step 6: Final answer
    x = 5,006.99

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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.