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Finding the Fourth Proportional to 10,074.38, 13,903.34 and 5,826.29

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Solution

The fourth proportional to 10,074.38, 13,903.34 and 5,826.29 is: 8,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.38 : 13,903.34 = 5,826.29 : x
  2. Step 2: Convert to fraction form
    10,074.38/13,903.34 = 5,826.29/x
  3. Step 3: Cross multiply
    10,074.38x = 13,903.34 × 5,826.29
  4. Step 4: Simplify right side
    10,074.38x = 81,004,792.16
  5. Step 5: Solve for x
    x = 81,004,792.16/10,074.38
  6. Step 6: Final answer
    x = 8,040.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.