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Finding the Fourth Proportional to 8,537.32, 11,776.43 and 6,645.91

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Solution

The fourth proportional to 8,537.32, 11,776.43 and 6,645.91 is: 9,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.32 : 11,776.43 = 6,645.91 : x
  2. Step 2: Convert to fraction form
    8,537.32/11,776.43 = 6,645.91/x
  3. Step 3: Cross multiply
    8,537.32x = 11,776.43 × 6,645.91
  4. Step 4: Simplify right side
    8,537.32x = 78,265,065.77
  5. Step 5: Solve for x
    x = 78,265,065.77/8,537.32
  6. Step 6: Final answer
    x = 9,167.40

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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.