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Finding the Fourth Proportional to 10,049.76, 15,072.48 and 5,122.08

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Solution

The fourth proportional to 10,049.76, 15,072.48 and 5,122.08 is: 7,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.76 : 15,072.48 = 5,122.08 : x
  2. Step 2: Convert to fraction form
    10,049.76/15,072.48 = 5,122.08/x
  3. Step 3: Cross multiply
    10,049.76x = 15,072.48 × 5,122.08
  4. Step 4: Simplify right side
    10,049.76x = 77,202,448.36
  5. Step 5: Solve for x
    x = 77,202,448.36/10,049.76
  6. Step 6: Final answer
    x = 7,682.02

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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.