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Finding the Fourth Proportional to 10,006, 15,008.28 and 4,161.04

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Solution

The fourth proportional to 10,006, 15,008.28 and 4,161.04 is: 6,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006 : 15,008.28 = 4,161.04 : x
  2. Step 2: Convert to fraction form
    10,006/15,008.28 = 4,161.04/x
  3. Step 3: Cross multiply
    10,006x = 15,008.28 × 4,161.04
  4. Step 4: Simplify right side
    10,006x = 62,450,053.41
  5. Step 5: Solve for x
    x = 62,450,053.41/10,006
  6. Step 6: Final answer
    x = 6,241.26

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