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Finding the Fourth Proportional to 6,164.89, 8,500.13 and 4,278.09

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Solution

The fourth proportional to 6,164.89, 8,500.13 and 4,278.09 is: 5,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.89 : 8,500.13 = 4,278.09 : x
  2. Step 2: Convert to fraction form
    6,164.89/8,500.13 = 4,278.09/x
  3. Step 3: Cross multiply
    6,164.89x = 8,500.13 × 4,278.09
  4. Step 4: Simplify right side
    6,164.89x = 36,364,347.68
  5. Step 5: Solve for x
    x = 36,364,347.68/6,164.89
  6. Step 6: Final answer
    x = 5,898.62

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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.