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Finding the Fourth Proportional to 7,314.13, 10,093.71 and 4,170.25

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Solution

The fourth proportional to 7,314.13, 10,093.71 and 4,170.25 is: 5,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.13 : 10,093.71 = 4,170.25 : x
  2. Step 2: Convert to fraction form
    7,314.13/10,093.71 = 4,170.25/x
  3. Step 3: Cross multiply
    7,314.13x = 10,093.71 × 4,170.25
  4. Step 4: Simplify right side
    7,314.13x = 42,093,294.13
  5. Step 5: Solve for x
    x = 42,093,294.13/7,314.13
  6. Step 6: Final answer
    x = 5,755.07

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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.