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Finding the Fourth Proportional to 8,095.64, 11,171.94 and 4,558.80

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Solution

The fourth proportional to 8,095.64, 11,171.94 and 4,558.80 is: 6,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.64 : 11,171.94 = 4,558.80 : x
  2. Step 2: Convert to fraction form
    8,095.64/11,171.94 = 4,558.80/x
  3. Step 3: Cross multiply
    8,095.64x = 11,171.94 × 4,558.80
  4. Step 4: Simplify right side
    8,095.64x = 50,930,640.07
  5. Step 5: Solve for x
    x = 50,930,640.07/8,095.64
  6. Step 6: Final answer
    x = 6,291.12

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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.