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Finding the Fourth Proportional to 7,257.72, 10,015.74 and 4,274.76

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Solution

The fourth proportional to 7,257.72, 10,015.74 and 4,274.76 is: 5,899.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.72 : 10,015.74 = 4,274.76 : x
  2. Step 2: Convert to fraction form
    7,257.72/10,015.74 = 4,274.76/x
  3. Step 3: Cross multiply
    7,257.72x = 10,015.74 × 4,274.76
  4. Step 4: Simplify right side
    7,257.72x = 42,814,884.72
  5. Step 5: Solve for x
    x = 42,814,884.72/7,257.72
  6. Step 6: Final answer
    x = 5,899.22

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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.