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Finding the Fourth Proportional to 10,001.90, 13,801.43 and 5,525.38

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Solution

The fourth proportional to 10,001.90, 13,801.43 and 5,525.38 is: 7,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.90 : 13,801.43 = 5,525.38 : x
  2. Step 2: Convert to fraction form
    10,001.90/13,801.43 = 5,525.38/x
  3. Step 3: Cross multiply
    10,001.90x = 13,801.43 × 5,525.38
  4. Step 4: Simplify right side
    10,001.90x = 76,258,124.60
  5. Step 5: Solve for x
    x = 76,258,124.60/10,001.90
  6. Step 6: Final answer
    x = 7,624.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.