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Finding the Fourth Proportional to 8,536.80, 11,778.81 and 5,178.95

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Solution

The fourth proportional to 8,536.80, 11,778.81 and 5,178.95 is: 7,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.80 : 11,778.81 = 5,178.95 : x
  2. Step 2: Convert to fraction form
    8,536.80/11,778.81 = 5,178.95/x
  3. Step 3: Cross multiply
    8,536.80x = 11,778.81 × 5,178.95
  4. Step 4: Simplify right side
    8,536.80x = 61,001,809.16
  5. Step 5: Solve for x
    x = 61,001,809.16/8,536.80
  6. Step 6: Final answer
    x = 7,145.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.