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Finding the Fourth Proportional to 7,928.80, 10,947.12 and 7,086.82

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Solution

The fourth proportional to 7,928.80, 10,947.12 and 7,086.82 is: 9,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.80 : 10,947.12 = 7,086.82 : x
  2. Step 2: Convert to fraction form
    7,928.80/10,947.12 = 7,086.82/x
  3. Step 3: Cross multiply
    7,928.80x = 10,947.12 × 7,086.82
  4. Step 4: Simplify right side
    7,928.80x = 77,580,268.96
  5. Step 5: Solve for x
    x = 77,580,268.96/7,928.80
  6. Step 6: Final answer
    x = 9,784.62

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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.