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Finding the Fourth Proportional to 6,316.16, 8,716.38 and 3,663.68

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Solution

The fourth proportional to 6,316.16, 8,716.38 and 3,663.68 is: 5,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.16 : 8,716.38 = 3,663.68 : x
  2. Step 2: Convert to fraction form
    6,316.16/8,716.38 = 3,663.68/x
  3. Step 3: Cross multiply
    6,316.16x = 8,716.38 × 3,663.68
  4. Step 4: Simplify right side
    6,316.16x = 31,934,027.08
  5. Step 5: Solve for x
    x = 31,934,027.08/6,316.16
  6. Step 6: Final answer
    x = 5,055.92

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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.