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Finding the Fourth Proportional to 10,062.94, 13,882.03 and 7,080.42

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Solution

The fourth proportional to 10,062.94, 13,882.03 and 7,080.42 is: 9,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.94 : 13,882.03 = 7,080.42 : x
  2. Step 2: Convert to fraction form
    10,062.94/13,882.03 = 7,080.42/x
  3. Step 3: Cross multiply
    10,062.94x = 13,882.03 × 7,080.42
  4. Step 4: Simplify right side
    10,062.94x = 98,290,568.15
  5. Step 5: Solve for x
    x = 98,290,568.15/10,062.94
  6. Step 6: Final answer
    x = 9,767.58

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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.