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Finding the Fourth Proportional to 8,536.14, 12,782.79 and 5,406.66

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Solution

The fourth proportional to 8,536.14, 12,782.79 and 5,406.66 is: 8,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.14 : 12,782.79 = 5,406.66 : x
  2. Step 2: Convert to fraction form
    8,536.14/12,782.79 = 5,406.66/x
  3. Step 3: Cross multiply
    8,536.14x = 12,782.79 × 5,406.66
  4. Step 4: Simplify right side
    8,536.14x = 69,112,199.38
  5. Step 5: Solve for x
    x = 69,112,199.38/8,536.14
  6. Step 6: Final answer
    x = 8,096.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.