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Finding the Fourth Proportional to 6,283.74, 8,659.23 and 5,679.66

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Solution

The fourth proportional to 6,283.74, 8,659.23 and 5,679.66 is: 7,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.74 : 8,659.23 = 5,679.66 : x
  2. Step 2: Convert to fraction form
    6,283.74/8,659.23 = 5,679.66/x
  3. Step 3: Cross multiply
    6,283.74x = 8,659.23 × 5,679.66
  4. Step 4: Simplify right side
    6,283.74x = 49,181,482.26
  5. Step 5: Solve for x
    x = 49,181,482.26/6,283.74
  6. Step 6: Final answer
    x = 7,826.79

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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.