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Finding the Fourth Proportional to 10,838.42, 16,259.65 and 3,440.89

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Solution

The fourth proportional to 10,838.42, 16,259.65 and 3,440.89 is: 5,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.42 : 16,259.65 = 3,440.89 : x
  2. Step 2: Convert to fraction form
    10,838.42/16,259.65 = 3,440.89/x
  3. Step 3: Cross multiply
    10,838.42x = 16,259.65 × 3,440.89
  4. Step 4: Simplify right side
    10,838.42x = 55,947,667.09
  5. Step 5: Solve for x
    x = 55,947,667.09/10,838.42
  6. Step 6: Final answer
    x = 5,161.98

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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.