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Finding the Fourth Proportional to 10,000.12, 13,801.02 and 5,524.36

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Solution

The fourth proportional to 10,000.12, 13,801.02 and 5,524.36 is: 7,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.12 : 13,801.02 = 5,524.36 : x
  2. Step 2: Convert to fraction form
    10,000.12/13,801.02 = 5,524.36/x
  3. Step 3: Cross multiply
    10,000.12x = 13,801.02 × 5,524.36
  4. Step 4: Simplify right side
    10,000.12x = 76,241,802.85
  5. Step 5: Solve for x
    x = 76,241,802.85/10,000.12
  6. Step 6: Final answer
    x = 7,624.09

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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.