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Finding the Fourth Proportional to 7,282.41, 10,049.74 and 4,139.20

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Solution

The fourth proportional to 7,282.41, 10,049.74 and 4,139.20 is: 5,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.41 : 10,049.74 = 4,139.20 : x
  2. Step 2: Convert to fraction form
    7,282.41/10,049.74 = 4,139.20/x
  3. Step 3: Cross multiply
    7,282.41x = 10,049.74 × 4,139.20
  4. Step 4: Simplify right side
    7,282.41x = 41,597,886.02
  5. Step 5: Solve for x
    x = 41,597,886.02/7,282.41
  6. Step 6: Final answer
    x = 5,712.11

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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.