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Finding the Fourth Proportional to 10,033.48, 13,835.46 and 8,546.44

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Solution

The fourth proportional to 10,033.48, 13,835.46 and 8,546.44 is: 11,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.48 : 13,835.46 = 8,546.44 : x
  2. Step 2: Convert to fraction form
    10,033.48/13,835.46 = 8,546.44/x
  3. Step 3: Cross multiply
    10,033.48x = 13,835.46 × 8,546.44
  4. Step 4: Simplify right side
    10,033.48x = 118,243,928.76
  5. Step 5: Solve for x
    x = 118,243,928.76/10,033.48
  6. Step 6: Final answer
    x = 11,784.94

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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.