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Finding the Fourth Proportional to 8,288.35, 11,438.04 and 4,511.59

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Solution

The fourth proportional to 8,288.35, 11,438.04 and 4,511.59 is: 6,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.35 : 11,438.04 = 4,511.59 : x
  2. Step 2: Convert to fraction form
    8,288.35/11,438.04 = 4,511.59/x
  3. Step 3: Cross multiply
    8,288.35x = 11,438.04 × 4,511.59
  4. Step 4: Simplify right side
    8,288.35x = 51,603,746.88
  5. Step 5: Solve for x
    x = 51,603,746.88/8,288.35
  6. Step 6: Final answer
    x = 6,226.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.