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Finding the Fourth Proportional to 6,388.12, 8,815.86 and 3,868.80

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Solution

The fourth proportional to 6,388.12, 8,815.86 and 3,868.80 is: 5,339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.12 : 8,815.86 = 3,868.80 : x
  2. Step 2: Convert to fraction form
    6,388.12/8,815.86 = 3,868.80/x
  3. Step 3: Cross multiply
    6,388.12x = 8,815.86 × 3,868.80
  4. Step 4: Simplify right side
    6,388.12x = 34,106,799.17
  5. Step 5: Solve for x
    x = 34,106,799.17/6,388.12
  6. Step 6: Final answer
    x = 5,339.10

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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.