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Finding the Fourth Proportional to 8,957.25, 13,440.74 and 4,340.25

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Solution

The fourth proportional to 8,957.25, 13,440.74 and 4,340.25 is: 6,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.25 : 13,440.74 = 4,340.25 : x
  2. Step 2: Convert to fraction form
    8,957.25/13,440.74 = 4,340.25/x
  3. Step 3: Cross multiply
    8,957.25x = 13,440.74 × 4,340.25
  4. Step 4: Simplify right side
    8,957.25x = 58,336,150.08
  5. Step 5: Solve for x
    x = 58,336,150.08/8,957.25
  6. Step 6: Final answer
    x = 6,512.73

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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.