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Finding the Fourth Proportional to 4,763.52, 7,148.52 and 4,727.16

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Solution

The fourth proportional to 4,763.52, 7,148.52 and 4,727.16 is: 7,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.52 : 7,148.52 = 4,727.16 : x
  2. Step 2: Convert to fraction form
    4,763.52/7,148.52 = 4,727.16/x
  3. Step 3: Cross multiply
    4,763.52x = 7,148.52 × 4,727.16
  4. Step 4: Simplify right side
    4,763.52x = 33,792,197.80
  5. Step 5: Solve for x
    x = 33,792,197.80/4,763.52
  6. Step 6: Final answer
    x = 7,093.96

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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.