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Finding the Fourth Proportional to 6,855.21, 10,278.50 and 5,815.58

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Solution

The fourth proportional to 6,855.21, 10,278.50 and 5,815.58 is: 8,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.21 : 10,278.50 = 5,815.58 : x
  2. Step 2: Convert to fraction form
    6,855.21/10,278.50 = 5,815.58/x
  3. Step 3: Cross multiply
    6,855.21x = 10,278.50 × 5,815.58
  4. Step 4: Simplify right side
    6,855.21x = 59,775,358.56
  5. Step 5: Solve for x
    x = 59,775,358.56/6,855.21
  6. Step 6: Final answer
    x = 8,719.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.