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Finding the Fourth Proportional to 10,017.34, 15,028.16 and 2,997.90

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Solution

The fourth proportional to 10,017.34, 15,028.16 and 2,997.90 is: 4,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.34 : 15,028.16 = 2,997.90 : x
  2. Step 2: Convert to fraction form
    10,017.34/15,028.16 = 2,997.90/x
  3. Step 3: Cross multiply
    10,017.34x = 15,028.16 × 2,997.90
  4. Step 4: Simplify right side
    10,017.34x = 45,052,920.86
  5. Step 5: Solve for x
    x = 45,052,920.86/10,017.34
  6. Step 6: Final answer
    x = 4,497.49

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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.