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Finding the Fourth Proportional to 10,614.50, 15,919.01 and 4,376.28

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Solution

The fourth proportional to 10,614.50, 15,919.01 and 4,376.28 is: 6,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.50 : 15,919.01 = 4,376.28 : x
  2. Step 2: Convert to fraction form
    10,614.50/15,919.01 = 4,376.28/x
  3. Step 3: Cross multiply
    10,614.50x = 15,919.01 × 4,376.28
  4. Step 4: Simplify right side
    10,614.50x = 69,666,023.20
  5. Step 5: Solve for x
    x = 69,666,023.20/10,614.50
  6. Step 6: Final answer
    x = 6,563.29

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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.