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Finding the Fourth Proportional to 7,957.68, 11,928.80 and 3,025.92

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Solution

The fourth proportional to 7,957.68, 11,928.80 and 3,025.92 is: 4,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.68 : 11,928.80 = 3,025.92 : x
  2. Step 2: Convert to fraction form
    7,957.68/11,928.80 = 3,025.92/x
  3. Step 3: Cross multiply
    7,957.68x = 11,928.80 × 3,025.92
  4. Step 4: Simplify right side
    7,957.68x = 36,095,594.50
  5. Step 5: Solve for x
    x = 36,095,594.50/7,957.68
  6. Step 6: Final answer
    x = 4,535.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.