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Finding the Fourth Proportional to 10,835.80, 16,241.70 and 4,259.80

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Solution

The fourth proportional to 10,835.80, 16,241.70 and 4,259.80 is: 6,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.80 : 16,241.70 = 4,259.80 : x
  2. Step 2: Convert to fraction form
    10,835.80/16,241.70 = 4,259.80/x
  3. Step 3: Cross multiply
    10,835.80x = 16,241.70 × 4,259.80
  4. Step 4: Simplify right side
    10,835.80x = 69,186,393.66
  5. Step 5: Solve for x
    x = 69,186,393.66/10,835.80
  6. Step 6: Final answer
    x = 6,384.98

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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.