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Finding the Fourth Proportional to 10,604.32, 14,635.72 and 5,890.12

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Solution

The fourth proportional to 10,604.32, 14,635.72 and 5,890.12 is: 8,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.32 : 14,635.72 = 5,890.12 : x
  2. Step 2: Convert to fraction form
    10,604.32/14,635.72 = 5,890.12/x
  3. Step 3: Cross multiply
    10,604.32x = 14,635.72 × 5,890.12
  4. Step 4: Simplify right side
    10,604.32x = 86,206,147.09
  5. Step 5: Solve for x
    x = 86,206,147.09/10,604.32
  6. Step 6: Final answer
    x = 8,129.34

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