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Finding the Fourth Proportional to 8,078.58, 11,146.14 and 4,847.09

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Solution

The fourth proportional to 8,078.58, 11,146.14 and 4,847.09 is: 6,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.58 : 11,146.14 = 4,847.09 : x
  2. Step 2: Convert to fraction form
    8,078.58/11,146.14 = 4,847.09/x
  3. Step 3: Cross multiply
    8,078.58x = 11,146.14 × 4,847.09
  4. Step 4: Simplify right side
    8,078.58x = 54,026,288.00
  5. Step 5: Solve for x
    x = 54,026,288.00/8,078.58
  6. Step 6: Final answer
    x = 6,687.60

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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.