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Finding the Fourth Proportional to 8,142.41, 12,212.24 and 3,698.69

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Solution

The fourth proportional to 8,142.41, 12,212.24 and 3,698.69 is: 5,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.41 : 12,212.24 = 3,698.69 : x
  2. Step 2: Convert to fraction form
    8,142.41/12,212.24 = 3,698.69/x
  3. Step 3: Cross multiply
    8,142.41x = 12,212.24 × 3,698.69
  4. Step 4: Simplify right side
    8,142.41x = 45,169,329.74
  5. Step 5: Solve for x
    x = 45,169,329.74/8,142.41
  6. Step 6: Final answer
    x = 5,547.42

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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.