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Finding the Fourth Proportional to 8,562.26, 11,790.09 and 6,886.44

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Solution

The fourth proportional to 8,562.26, 11,790.09 and 6,886.44 is: 9,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.26 : 11,790.09 = 6,886.44 : x
  2. Step 2: Convert to fraction form
    8,562.26/11,790.09 = 6,886.44/x
  3. Step 3: Cross multiply
    8,562.26x = 11,790.09 × 6,886.44
  4. Step 4: Simplify right side
    8,562.26x = 81,191,747.38
  5. Step 5: Solve for x
    x = 81,191,747.38/8,562.26
  6. Step 6: Final answer
    x = 9,482.51

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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.