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Finding the Fourth Proportional to 10,124.70, 15,189.21 and 4,278.30

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Solution

The fourth proportional to 10,124.70, 15,189.21 and 4,278.30 is: 6,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.70 : 15,189.21 = 4,278.30 : x
  2. Step 2: Convert to fraction form
    10,124.70/15,189.21 = 4,278.30/x
  3. Step 3: Cross multiply
    10,124.70x = 15,189.21 × 4,278.30
  4. Step 4: Simplify right side
    10,124.70x = 64,983,997.14
  5. Step 5: Solve for x
    x = 64,983,997.14/10,124.70
  6. Step 6: Final answer
    x = 6,418.36

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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.