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Finding the Fourth Proportional to 7,839.28, 10,818.16 and 4,254.16

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Solution

The fourth proportional to 7,839.28, 10,818.16 and 4,254.16 is: 5,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.28 : 10,818.16 = 4,254.16 : x
  2. Step 2: Convert to fraction form
    7,839.28/10,818.16 = 4,254.16/x
  3. Step 3: Cross multiply
    7,839.28x = 10,818.16 × 4,254.16
  4. Step 4: Simplify right side
    7,839.28x = 46,022,108.18
  5. Step 5: Solve for x
    x = 46,022,108.18/7,839.28
  6. Step 6: Final answer
    x = 5,870.71

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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.