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Finding the Fourth Proportional to 10,000.98, 13,801.11 and 5,525.16

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Solution

The fourth proportional to 10,000.98, 13,801.11 and 5,525.16 is: 7,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.98 : 13,801.11 = 5,525.16 : x
  2. Step 2: Convert to fraction form
    10,000.98/13,801.11 = 5,525.16/x
  3. Step 3: Cross multiply
    10,000.98x = 13,801.11 × 5,525.16
  4. Step 4: Simplify right side
    10,000.98x = 76,253,340.93
  5. Step 5: Solve for x
    x = 76,253,340.93/10,000.98
  6. Step 6: Final answer
    x = 7,624.59

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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.