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Finding the Fourth Proportional to 8,537.20, 11,781.18 and 4,811.20

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Solution

The fourth proportional to 8,537.20, 11,781.18 and 4,811.20 is: 6,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.20 : 11,781.18 = 4,811.20 : x
  2. Step 2: Convert to fraction form
    8,537.20/11,781.18 = 4,811.20/x
  3. Step 3: Cross multiply
    8,537.20x = 11,781.18 × 4,811.20
  4. Step 4: Simplify right side
    8,537.20x = 56,681,613.22
  5. Step 5: Solve for x
    x = 56,681,613.22/8,537.20
  6. Step 6: Final answer
    x = 6,639.37

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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.