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Finding the Fourth Proportional to 8,279.60, 11,425.73 and 6,164.57

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Solution

The fourth proportional to 8,279.60, 11,425.73 and 6,164.57 is: 8,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.60 : 11,425.73 = 6,164.57 : x
  2. Step 2: Convert to fraction form
    8,279.60/11,425.73 = 6,164.57/x
  3. Step 3: Cross multiply
    8,279.60x = 11,425.73 × 6,164.57
  4. Step 4: Simplify right side
    8,279.60x = 70,434,710.13
  5. Step 5: Solve for x
    x = 70,434,710.13/8,279.60
  6. Step 6: Final answer
    x = 8,507.02

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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.