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Finding the Fourth Proportional to 10,853.80, 16,259.10 and 5,914.60

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Solution

The fourth proportional to 10,853.80, 16,259.10 and 5,914.60 is: 8,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.80 : 16,259.10 = 5,914.60 : x
  2. Step 2: Convert to fraction form
    10,853.80/16,259.10 = 5,914.60/x
  3. Step 3: Cross multiply
    10,853.80x = 16,259.10 × 5,914.60
  4. Step 4: Simplify right side
    10,853.80x = 96,166,072.86
  5. Step 5: Solve for x
    x = 96,166,072.86/10,853.80
  6. Step 6: Final answer
    x = 8,860.13

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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.