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Finding the Fourth Proportional to 6,398.25, 8,765.65 and 6,158.56

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Solution

The fourth proportional to 6,398.25, 8,765.65 and 6,158.56 is: 8,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.25 : 8,765.65 = 6,158.56 : x
  2. Step 2: Convert to fraction form
    6,398.25/8,765.65 = 6,158.56/x
  3. Step 3: Cross multiply
    6,398.25x = 8,765.65 × 6,158.56
  4. Step 4: Simplify right side
    6,398.25x = 53,983,706.84
  5. Step 5: Solve for x
    x = 53,983,706.84/6,398.25
  6. Step 6: Final answer
    x = 8,437.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.