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Finding the Fourth Proportional to 6,813.21, 10,216.90 and 2,595.75

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Solution

The fourth proportional to 6,813.21, 10,216.90 and 2,595.75 is: 3,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.21 : 10,216.90 = 2,595.75 : x
  2. Step 2: Convert to fraction form
    6,813.21/10,216.90 = 2,595.75/x
  3. Step 3: Cross multiply
    6,813.21x = 10,216.90 × 2,595.75
  4. Step 4: Simplify right side
    6,813.21x = 26,520,518.18
  5. Step 5: Solve for x
    x = 26,520,518.18/6,813.21
  6. Step 6: Final answer
    x = 3,892.51

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Why These Related Problems?

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