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Finding the Fourth Proportional to 7,928.20, 10,939.35 and 4,784.32

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Solution

The fourth proportional to 7,928.20, 10,939.35 and 4,784.32 is: 6,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.20 : 10,939.35 = 4,784.32 : x
  2. Step 2: Convert to fraction form
    7,928.20/10,939.35 = 4,784.32/x
  3. Step 3: Cross multiply
    7,928.20x = 10,939.35 × 4,784.32
  4. Step 4: Simplify right side
    7,928.20x = 52,337,350.99
  5. Step 5: Solve for x
    x = 52,337,350.99/7,928.20
  6. Step 6: Final answer
    x = 6,601.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.