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Finding the Fourth Proportional to 10,003.80, 14,976.90 and 6,115.80

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Solution

The fourth proportional to 10,003.80, 14,976.90 and 6,115.80 is: 9,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.80 : 14,976.90 = 6,115.80 : x
  2. Step 2: Convert to fraction form
    10,003.80/14,976.90 = 6,115.80/x
  3. Step 3: Cross multiply
    10,003.80x = 14,976.90 × 6,115.80
  4. Step 4: Simplify right side
    10,003.80x = 91,595,725.02
  5. Step 5: Solve for x
    x = 91,595,725.02/10,003.80
  6. Step 6: Final answer
    x = 9,156.09

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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.