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Finding the Fourth Proportional to 11,686.42, 17,519.18 and 4,289.14

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Solution

The fourth proportional to 11,686.42, 17,519.18 and 4,289.14 is: 6,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.42 : 17,519.18 = 4,289.14 : x
  2. Step 2: Convert to fraction form
    11,686.42/17,519.18 = 4,289.14/x
  3. Step 3: Cross multiply
    11,686.42x = 17,519.18 × 4,289.14
  4. Step 4: Simplify right side
    11,686.42x = 75,142,215.71
  5. Step 5: Solve for x
    x = 75,142,215.71/11,686.42
  6. Step 6: Final answer
    x = 6,429.87

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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.