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Finding the Fourth Proportional to 8,063.91, 12,097.28 and 3,681.81

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Solution

The fourth proportional to 8,063.91, 12,097.28 and 3,681.81 is: 5,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,063.91 : 12,097.28 = 3,681.81 : x
  2. Step 2: Convert to fraction form
    8,063.91/12,097.28 = 3,681.81/x
  3. Step 3: Cross multiply
    8,063.91x = 12,097.28 × 3,681.81
  4. Step 4: Simplify right side
    8,063.91x = 44,539,895.68
  5. Step 5: Solve for x
    x = 44,539,895.68/8,063.91
  6. Step 6: Final answer
    x = 5,523.36

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Why These Related Problems?

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