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Finding the Fourth Proportional to 8,405.42, 11,600.35 and 6,305.90

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Solution

The fourth proportional to 8,405.42, 11,600.35 and 6,305.90 is: 8,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.42 : 11,600.35 = 6,305.90 : x
  2. Step 2: Convert to fraction form
    8,405.42/11,600.35 = 6,305.90/x
  3. Step 3: Cross multiply
    8,405.42x = 11,600.35 × 6,305.90
  4. Step 4: Simplify right side
    8,405.42x = 73,150,573.30
  5. Step 5: Solve for x
    x = 73,150,573.30/8,405.42
  6. Step 6: Final answer
    x = 8,702.79

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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.