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Finding the Fourth Proportional to 7,928.84, 10,947.06 and 7,433.24

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Solution

The fourth proportional to 7,928.84, 10,947.06 and 7,433.24 is: 10,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.84 : 10,947.06 = 7,433.24 : x
  2. Step 2: Convert to fraction form
    7,928.84/10,947.06 = 7,433.24/x
  3. Step 3: Cross multiply
    7,928.84x = 10,947.06 × 7,433.24
  4. Step 4: Simplify right side
    7,928.84x = 81,372,124.27
  5. Step 5: Solve for x
    x = 81,372,124.27/7,928.84
  6. Step 6: Final answer
    x = 10,262.80

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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.