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Finding the Fourth Proportional to 8,011.68, 12,019.28 and 2,465.44

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Solution

The fourth proportional to 8,011.68, 12,019.28 and 2,465.44 is: 3,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.68 : 12,019.28 = 2,465.44 : x
  2. Step 2: Convert to fraction form
    8,011.68/12,019.28 = 2,465.44/x
  3. Step 3: Cross multiply
    8,011.68x = 12,019.28 × 2,465.44
  4. Step 4: Simplify right side
    8,011.68x = 29,632,813.68
  5. Step 5: Solve for x
    x = 29,632,813.68/8,011.68
  6. Step 6: Final answer
    x = 3,698.70

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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.