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Finding the Fourth Proportional to 7,314.24, 10,092.24 and 4,170.36

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Solution

The fourth proportional to 7,314.24, 10,092.24 and 4,170.36 is: 5,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.24 : 10,092.24 = 4,170.36 : x
  2. Step 2: Convert to fraction form
    7,314.24/10,092.24 = 4,170.36/x
  3. Step 3: Cross multiply
    7,314.24x = 10,092.24 × 4,170.36
  4. Step 4: Simplify right side
    7,314.24x = 42,088,274.01
  5. Step 5: Solve for x
    x = 42,088,274.01/7,314.24
  6. Step 6: Final answer
    x = 5,754.29

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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.