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Finding the Fourth Proportional to 7,935.12, 10,943.64 and 4,947.84

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Solution

The fourth proportional to 7,935.12, 10,943.64 and 4,947.84 is: 6,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,935.12 : 10,943.64 = 4,947.84 : x
  2. Step 2: Convert to fraction form
    7,935.12/10,943.64 = 4,947.84/x
  3. Step 3: Cross multiply
    7,935.12x = 10,943.64 × 4,947.84
  4. Step 4: Simplify right side
    7,935.12x = 54,147,379.74
  5. Step 5: Solve for x
    x = 54,147,379.74/7,935.12
  6. Step 6: Final answer
    x = 6,823.76

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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.