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Finding the Fourth Proportional to 10,203, 14,080.14 and 6,013.80

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Solution

The fourth proportional to 10,203, 14,080.14 and 6,013.80 is: 8,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203 : 14,080.14 = 6,013.80 : x
  2. Step 2: Convert to fraction form
    10,203/14,080.14 = 6,013.80/x
  3. Step 3: Cross multiply
    10,203x = 14,080.14 × 6,013.80
  4. Step 4: Simplify right side
    10,203x = 84,675,145.93
  5. Step 5: Solve for x
    x = 84,675,145.93/10,203
  6. Step 6: Final answer
    x = 8,299.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.