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Finding the Fourth Proportional to 7,164.76, 9,887.34 and 4,180.72

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Solution

The fourth proportional to 7,164.76, 9,887.34 and 4,180.72 is: 5,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.76 : 9,887.34 = 4,180.72 : x
  2. Step 2: Convert to fraction form
    7,164.76/9,887.34 = 4,180.72/x
  3. Step 3: Cross multiply
    7,164.76x = 9,887.34 × 4,180.72
  4. Step 4: Simplify right side
    7,164.76x = 41,336,200.08
  5. Step 5: Solve for x
    x = 41,336,200.08/7,164.76
  6. Step 6: Final answer
    x = 5,769.38

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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.