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Finding the Fourth Proportional to 8,495.25, 11,724.57 and 4,769.25

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Solution

The fourth proportional to 8,495.25, 11,724.57 and 4,769.25 is: 6,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.25 : 11,724.57 = 4,769.25 : x
  2. Step 2: Convert to fraction form
    8,495.25/11,724.57 = 4,769.25/x
  3. Step 3: Cross multiply
    8,495.25x = 11,724.57 × 4,769.25
  4. Step 4: Simplify right side
    8,495.25x = 55,917,405.47
  5. Step 5: Solve for x
    x = 55,917,405.47/8,495.25
  6. Step 6: Final answer
    x = 6,582.20

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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.