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Finding the Fourth Proportional to 7,435.60, 11,167.25 and 6,546.44

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Solution

The fourth proportional to 7,435.60, 11,167.25 and 6,546.44 is: 9,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.60 : 11,167.25 = 6,546.44 : x
  2. Step 2: Convert to fraction form
    7,435.60/11,167.25 = 6,546.44/x
  3. Step 3: Cross multiply
    7,435.60x = 11,167.25 × 6,546.44
  4. Step 4: Simplify right side
    7,435.60x = 73,105,732.09
  5. Step 5: Solve for x
    x = 73,105,732.09/7,435.60
  6. Step 6: Final answer
    x = 9,831.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.