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Finding the Fourth Proportional to 10,065.67, 15,099.41 and 3,402

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Solution

The fourth proportional to 10,065.67, 15,099.41 and 3,402 is: 5,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.67 : 15,099.41 = 3,402 : x
  2. Step 2: Convert to fraction form
    10,065.67/15,099.41 = 3,402/x
  3. Step 3: Cross multiply
    10,065.67x = 15,099.41 × 3,402
  4. Step 4: Simplify right side
    10,065.67x = 51,368,201.33
  5. Step 5: Solve for x
    x = 51,368,201.33/10,065.67
  6. Step 6: Final answer
    x = 5,103.31

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Why These Related Problems?

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