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Finding the Fourth Proportional to 6,288.23, 8,686.61 and 5,956.08

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Solution

The fourth proportional to 6,288.23, 8,686.61 and 5,956.08 is: 8,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.23 : 8,686.61 = 5,956.08 : x
  2. Step 2: Convert to fraction form
    6,288.23/8,686.61 = 5,956.08/x
  3. Step 3: Cross multiply
    6,288.23x = 8,686.61 × 5,956.08
  4. Step 4: Simplify right side
    6,288.23x = 51,738,114.31
  5. Step 5: Solve for x
    x = 51,738,114.31/6,288.23
  6. Step 6: Final answer
    x = 8,227.78

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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.