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Finding the Fourth Proportional to 8,319.12, 11,485.78 and 6,427.40

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Solution

The fourth proportional to 8,319.12, 11,485.78 and 6,427.40 is: 8,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.12 : 11,485.78 = 6,427.40 : x
  2. Step 2: Convert to fraction form
    8,319.12/11,485.78 = 6,427.40/x
  3. Step 3: Cross multiply
    8,319.12x = 11,485.78 × 6,427.40
  4. Step 4: Simplify right side
    8,319.12x = 73,823,702.37
  5. Step 5: Solve for x
    x = 73,823,702.37/8,319.12
  6. Step 6: Final answer
    x = 8,873.98

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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.