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Finding the Fourth Proportional to 8,189.16, 11,316.38 and 6,696.51

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Solution

The fourth proportional to 8,189.16, 11,316.38 and 6,696.51 is: 9,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.16 : 11,316.38 = 6,696.51 : x
  2. Step 2: Convert to fraction form
    8,189.16/11,316.38 = 6,696.51/x
  3. Step 3: Cross multiply
    8,189.16x = 11,316.38 × 6,696.51
  4. Step 4: Simplify right side
    8,189.16x = 75,780,218.35
  5. Step 5: Solve for x
    x = 75,780,218.35/8,189.16
  6. Step 6: Final answer
    x = 9,253.72

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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.