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Finding the Fourth Proportional to 7,663.16, 11,496.24 and 4,199.60

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Solution

The fourth proportional to 7,663.16, 11,496.24 and 4,199.60 is: 6,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.16 : 11,496.24 = 4,199.60 : x
  2. Step 2: Convert to fraction form
    7,663.16/11,496.24 = 4,199.60/x
  3. Step 3: Cross multiply
    7,663.16x = 11,496.24 × 4,199.60
  4. Step 4: Simplify right side
    7,663.16x = 48,279,609.50
  5. Step 5: Solve for x
    x = 48,279,609.50/7,663.16
  6. Step 6: Final answer
    x = 6,300.22

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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.