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Finding the Fourth Proportional to 10,827.46, 16,235.11 and 3,430.54

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Solution

The fourth proportional to 10,827.46, 16,235.11 and 3,430.54 is: 5,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.46 : 16,235.11 = 3,430.54 : x
  2. Step 2: Convert to fraction form
    10,827.46/16,235.11 = 3,430.54/x
  3. Step 3: Cross multiply
    10,827.46x = 16,235.11 × 3,430.54
  4. Step 4: Simplify right side
    10,827.46x = 55,695,194.26
  5. Step 5: Solve for x
    x = 55,695,194.26/10,827.46
  6. Step 6: Final answer
    x = 5,143.88

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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.