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Finding the Fourth Proportional to 8,386.26, 11,578.11 and 5,556.05

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Solution

The fourth proportional to 8,386.26, 11,578.11 and 5,556.05 is: 7,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.26 : 11,578.11 = 5,556.05 : x
  2. Step 2: Convert to fraction form
    8,386.26/11,578.11 = 5,556.05/x
  3. Step 3: Cross multiply
    8,386.26x = 11,578.11 × 5,556.05
  4. Step 4: Simplify right side
    8,386.26x = 64,328,500.17
  5. Step 5: Solve for x
    x = 64,328,500.17/8,386.26
  6. Step 6: Final answer
    x = 7,670.70

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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.