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Finding the Fourth Proportional to 7,839.27, 10,818.16 and 4,254.15

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Solution

The fourth proportional to 7,839.27, 10,818.16 and 4,254.15 is: 5,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.27 : 10,818.16 = 4,254.15 : x
  2. Step 2: Convert to fraction form
    7,839.27/10,818.16 = 4,254.15/x
  3. Step 3: Cross multiply
    7,839.27x = 10,818.16 × 4,254.15
  4. Step 4: Simplify right side
    7,839.27x = 46,022,075.36
  5. Step 5: Solve for x
    x = 46,022,075.36/7,839.27
  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.