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Finding the Fourth Proportional to 7,174.16, 10,755.74 and 3,275.84

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Solution

The fourth proportional to 7,174.16, 10,755.74 and 3,275.84 is: 4,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.16 : 10,755.74 = 3,275.84 : x
  2. Step 2: Convert to fraction form
    7,174.16/10,755.74 = 3,275.84/x
  3. Step 3: Cross multiply
    7,174.16x = 10,755.74 × 3,275.84
  4. Step 4: Simplify right side
    7,174.16x = 35,234,083.32
  5. Step 5: Solve for x
    x = 35,234,083.32/7,174.16
  6. Step 6: Final answer
    x = 4,911.25

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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.