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Finding the Fourth Proportional to 8,386.38, 11,578.02 and 5,837.84

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Solution

The fourth proportional to 8,386.38, 11,578.02 and 5,837.84 is: 8,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.38 : 11,578.02 = 5,837.84 : x
  2. Step 2: Convert to fraction form
    8,386.38/11,578.02 = 5,837.84/x
  3. Step 3: Cross multiply
    8,386.38x = 11,578.02 × 5,837.84
  4. Step 4: Simplify right side
    8,386.38x = 67,590,628.28
  5. Step 5: Solve for x
    x = 67,590,628.28/8,386.38
  6. Step 6: Final answer
    x = 8,059.57

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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.