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Finding the Fourth Proportional to 8,314.56, 11,474.88 and 4,779.84

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Solution

The fourth proportional to 8,314.56, 11,474.88 and 4,779.84 is: 6,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.56 : 11,474.88 = 4,779.84 : x
  2. Step 2: Convert to fraction form
    8,314.56/11,474.88 = 4,779.84/x
  3. Step 3: Cross multiply
    8,314.56x = 11,474.88 × 4,779.84
  4. Step 4: Simplify right side
    8,314.56x = 54,848,090.42
  5. Step 5: Solve for x
    x = 54,848,090.42/8,314.56
  6. Step 6: Final answer
    x = 6,596.63

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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.