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Finding the Fourth Proportional to 8,723.38, 12,035.55 and 4,946.25

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Solution

The fourth proportional to 8,723.38, 12,035.55 and 4,946.25 is: 6,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.38 : 12,035.55 = 4,946.25 : x
  2. Step 2: Convert to fraction form
    8,723.38/12,035.55 = 4,946.25/x
  3. Step 3: Cross multiply
    8,723.38x = 12,035.55 × 4,946.25
  4. Step 4: Simplify right side
    8,723.38x = 59,530,851.55
  5. Step 5: Solve for x
    x = 59,530,851.55/8,723.38
  6. Step 6: Final answer
    x = 6,824.29

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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.