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Finding the Fourth Proportional to 10,840.96, 16,262.04 and 3,446

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Solution

The fourth proportional to 10,840.96, 16,262.04 and 3,446 is: 5,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.96 : 16,262.04 = 3,446 : x
  2. Step 2: Convert to fraction form
    10,840.96/16,262.04 = 3,446/x
  3. Step 3: Cross multiply
    10,840.96x = 16,262.04 × 3,446
  4. Step 4: Simplify right side
    10,840.96x = 56,038,989.84
  5. Step 5: Solve for x
    x = 56,038,989.84/10,840.96
  6. Step 6: Final answer
    x = 5,169.19

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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.